What is the equation of the parabola below?
What is the equation of the parabola below?
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) ?