Quiz Review: Vertex Form & Quad Transformations

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What is the equation of the parabola below?

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Identify the vertex and the y-intercept of the graph of the function y = 3(x + 2) 2 - 5 .

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In the function f(x) = (x − 2)2 + 4, the minimum value occurs when x is

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If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.

What is the value of h for f(x)?

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Describe the transformation of f(x) = x2 represented by g(x) = (x + 4)2 − 1. Select all that apply.

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Write in vertex form: f(x) = x2 + 12x + 32.

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Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator.

Describe what effect adding a constant to the function has on the parent function.

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Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.

f(x) = −x 2 − 6x − 10

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Determine the quadratic function whose graph is shown.

Write the equations f(x) = in vertex form.

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Hannah went to the board and graphed the function h(x) = x2 .
Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .

How does Giana's graph compare to Hannah's graph?

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The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

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The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

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If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .
Check all that apply.

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Write the vertex form of the parabola y = x2 - 16x + 70 .

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Write the standard form equation of the following parabola: y = (x − 2) 2 − 2.

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The graph below shows the function f(x) = x2 .
Draw the graph of g(x) = f(x - 4) + 1 .
What are the coordinates of of g(x) ?

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Quiz Review: Vertex Form & Quad Transformations

What is the equation of the parabola below?

Identify the vertex and the y-intercept of the graph of the function y = 3(x + 2) 2 - 5 .

In the function f(x) = (x − 2)2 + 4, the minimum value occurs when x is

If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.

What is the value of h for f(x)?

Describe the transformation of f(x) = x2 represented by g(x) = (x + 4)2 − 1. Select all that apply.

Write in vertex form: f(x) = x2 + 12x + 32.

Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator.

Describe what effect adding a constant to the function has on the parent function.

Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.

f(x) = −x 2 − 6x − 10

Determine the quadratic function whose graph is shown.

Write the equations f(x) = in vertex form.

Hannah went to the board and graphed the function h(x) = x2 .
Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .

How does Giana's graph compare to Hannah's graph?

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .
Check all that apply.

Write the vertex form of the parabola y = x2 - 16x + 70 .

Write the standard form equation of the following parabola: y = (x − 2) 2 − 2.

The graph below shows the function f(x) = x2 .
Draw the graph of g(x) = f(x - 4) + 1 .
What are the coordinates of of g(x) ?

The graph below shows the function f(x) = x2 .
Draw the graph of h(x) = 2 f(x) - 3 .
What are the coordinates of of h(x) ?

What is the equation of the parabola below?

Identify the vertex and the y-intercept of the graph of the function y = 3(x + 2) 2 - 5 .

In the function f(x) = (x − 2)2 + 4, the minimum value occurs when x is

If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.

What is the value of h for f(x)?

Describe the transformation of f(x) = x2 represented by g(x) = (x + 4)2 − 1. Select all that apply.

Write in vertex form: f(x) = x2 + 12x + 32.

Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator.

Describe what effect adding a constant to the function has on the parent function.

Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.

f(x) = −x 2 − 6x − 10

Determine the quadratic function whose graph is shown.

Write the equations f(x) = in vertex form.

Hannah went to the board and graphed the function h(x) = x2 .
Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .

How does Giana's graph compare to Hannah's graph?

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .
Check all that apply.

Write the vertex form of the parabola y = x2 - 16x + 70 .

Write the standard form equation of the following parabola: y = (x − 2) 2 − 2.

The graph below shows the function f(x) = x2 .
Draw the graph of g(x) = f(x - 4) + 1 .
What are the coordinates of of g(x) ?

The graph below shows the function f(x) = x2 .
Draw the graph of h(x) = 2 f(x) - 3 .
What are the coordinates of of h(x) ?

Quiz Review: Vertex Form & Quad Transformations

Quiz Review: Vertex Form & Quad Transformations

What is the equation of the parabola below?

Identify the vertex and the y-intercept of the graph of the function y = 3(x + 2) 2 - 5 .

In the function f(x) = (x − 2)2 + 4, the minimum value occurs when x is

If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.What is the value of h for f(x)?

Describe the transformation of f(x) = x2 represented by g(x) = (x + 4)2 − 1. Select all that apply.

Write in vertex form: f(x) = x2 + 12x + 32.

Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator. Describe what effect adding a constant to the function has on the parent function.

Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.f(x) = −x 2 − 6x − 10

Determine the quadratic function whose graph is shown.Write the equations f(x) = in vertex form.

Hannah went to the board and graphed the function h(x) = x2 .Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .How does Giana's graph compare to Hannah's graph?

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .Check all that apply.

Write the vertex form of the parabola y = x2 - 16x + 70 .

Write the standard form equation of the following parabola: y = (x − 2) 2 − 2.

The graph below shows the function f(x) = x2 .Draw the graph of g(x) = f(x - 4) + 1 .What are the coordinates of of g(x) ?

The graph below shows the function f(x) = x2 .Draw the graph of h(x) = 2 f(x) - 3 .What are the coordinates of of h(x) ?

What is the equation of the parabola below?

Identify the vertex and the y-intercept of the graph of the function y = 3(x + 2) 2 - 5 .

In the function f(x) = (x − 2)2 + 4, the minimum value occurs when x is

If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.What is the value of h for f(x)?

Describe the transformation of f(x) = x2 represented by g(x) = (x + 4)2 − 1. Select all that apply.

Write in vertex form: f(x) = x2 + 12x + 32.

Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator. Describe what effect adding a constant to the function has on the parent function.

Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.f(x) = −x 2 − 6x − 10

Determine the quadratic function whose graph is shown.Write the equations f(x) = in vertex form.

Hannah went to the board and graphed the function h(x) = x2 .Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .How does Giana's graph compare to Hannah's graph?

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .Check all that apply.

Write the vertex form of the parabola y = x2 - 16x + 70 .

Write the standard form equation of the following parabola: y = (x − 2) 2 − 2.

The graph below shows the function f(x) = x2 .Draw the graph of g(x) = f(x - 4) + 1 .What are the coordinates of of g(x) ?

The graph below shows the function f(x) = x2 .Draw the graph of h(x) = 2 f(x) - 3 .What are the coordinates of of h(x) ?

If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.

What is the value of h for f(x)?

Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator.

Describe what effect adding a constant to the function has on the parent function.

Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.

f(x) = −x 2 − 6x − 10

Determine the quadratic function whose graph is shown.

Write the equations f(x) = in vertex form.

Hannah went to the board and graphed the function h(x) = x2 .
Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .

How does Giana's graph compare to Hannah's graph?

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .
Check all that apply.

The graph below shows the function f(x) = x2 .
Draw the graph of g(x) = f(x - 4) + 1 .
What are the coordinates of of g(x) ?

The graph below shows the function f(x) = x2 .
Draw the graph of h(x) = 2 f(x) - 3 .
What are the coordinates of of h(x) ?

If Lylah is given the equation f(x) = x2 − 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x − h)2 + k.

What is the value of h for f(x)?

Graph f(x)=x2 , g(x)=x2 + 2, and h(x)=x2 − 2 on the same coordinate plane using your calculator.

Describe what effect adding a constant to the function has on the parent function.

Identify the vertex and axis of symmetry by converting to vertex form. Then sketch the graph.

f(x) = −x 2 − 6x − 10

Determine the quadratic function whose graph is shown.

Write the equations f(x) = in vertex form.

Hannah went to the board and graphed the function h(x) = x2 .
Then, Giana went up and graphed the function g(x) = 5(x - 2)2 + 3 .

How does Giana's graph compare to Hannah's graph?

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

Find the coordinates of the vertex of the parabola defined by g(x) = f (x - 3) .

The vertex of the parabola represented by f(x) = x2 - 2x - 3 has coordinates (1, -4).

If h(x) is a translation of f(x) where h(x) = f(x + 3) + 7 , what are the coordinates of the vertex of h(x) ?

If k(x) = -2f ( x ) how will the parabola k(x) differ from the original f(x) .
Check all that apply.

The graph below shows the function f(x) = x2 .
Draw the graph of g(x) = f(x - 4) + 1 .
What are the coordinates of of g(x) ?

The graph below shows the function f(x) = x2 .
Draw the graph of h(x) = 2 f(x) - 3 .
What are the coordinates of of h(x) ?