Quiz 3.2 - Vertex Form & Inverses

Last updated about 4 years ago

13 questions

Note from the author:

Instructions

Quiz 3.2 - Vertex Form & Inverses

Last updated about 4 years ago

13 questions

Note from the author:

vertex form of a quadratic:  y=A(x-h)^{2}+k
where (h, k) is the vertex.

Instructions

vertex form of a quadratic:  y=A(x-h)^{2}+k
where (h, k) is the vertex.

Match the functions with their inverses.
Hint: words go with words and functions (y=...) go with functions.

Draggable item		Corresponding Item
addition		subtraction

Find the inverse of the function.

y=\sqrt{x+2}-1

Use vertex form, y=..., no spaces.

Find the inverse of the function.

y=\frac{1}{2}\sqrt{x-3}

Use y=... form, no spaces.

Find the inverse of the function.

y=-3\sqrt{x}+6

Use y=... form, no spaces.

Find the inverse of the function.

y=\frac{1}{2}x^2

Use y=... format, no spaces.

Find the inverse of the function.

y=(x-3)^{2} + 5

Use y=... format, no spaces.

Find the inverse of the function.

y=(\frac{1}{2}x+1)^{2}

Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.

As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.
The question #6 is in vertex form. Use it and its graph to help you.

Use y=... format, no spaces.

Draggable item		Corresponding Item
addition		subtraction
y=2x+3		division
y=\frac{1}{3}\sqrt{x}		y=\frac{1}{2}(x-3)
multiplication		y=(3x)^{2}
y=\sqrt{\frac{1}{3}x}		y=3x^{2}

Quiz 3.2 - Vertex Form & Inverses

Quiz 3.2 - Vertex Form & Inverses

Match the functions with their inverses.
Hint: words go with words and functions (y=...) go with functions.

Find the inverse of the function.

y=\sqrt{x+2}-1

Use vertex form, y=..., no spaces.

Find the inverse of the function.

y=\frac{1}{2}\sqrt{x-3}

Use y=... form, no spaces.

Find the inverse of the function.

y=-3\sqrt{x}+6

Use y=... form, no spaces.

Find the inverse of the function.

y=\frac{1}{2}x^2

Use y=... format, no spaces.

Find the inverse of the function.

y=(x-3)^{2} + 5

Use y=... format, no spaces.

Find the inverse of the function.

y=(\frac{1}{2}x+1)^{2}

Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.

As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.
The question #6 is in vertex form. Use it and its graph to help you.

Use y=... format, no spaces.

Put y=-x^{2} + 6x in vertex form.

Use y=... format, no spaces.

Put y=2x^{2} + 4x+2 in vertex form.

Use y=... format, no spaces.

Put y=x^{2} + 3x-1 in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Put y=5x^{2}-2x in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Are the functions shown inverses of each other?

Why or why not?

Match the functions with their inverses.
Hint: words go with words and functions (y=...) go with functions.

Find the inverse of the function.

y=\sqrt{x+2}-1

Use vertex form, y=..., no spaces.

Find the inverse of the function.

y=\frac{1}{2}\sqrt{x-3}

Use y=... form, no spaces.

Find the inverse of the function.

y=-3\sqrt{x}+6

Use y=... form, no spaces.

Find the inverse of the function.

y=\frac{1}{2}x^2

Use y=... format, no spaces.

Find the inverse of the function.

y=(x-3)^{2} + 5

Use y=... format, no spaces.

Find the inverse of the function.

y=(\frac{1}{2}x+1)^{2}

Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.

As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.
The question #6 is in vertex form. Use it and its graph to help you.

Use y=... format, no spaces.

Put y=-x^{2} + 6x in vertex form.

Use y=... format, no spaces.

Put y=2x^{2} + 4x+2 in vertex form.

Use y=... format, no spaces.

Put y=x^{2} + 3x-1 in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Put y=5x^{2}-2x in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Are the functions shown inverses of each other?

Why or why not?

Quiz 3.2 - Vertex Form & Inverses

Quiz 3.2 - Vertex Form & Inverses

Match the functions with their inverses.Hint: words go with words and functions (y=...) go with functions.

Find the inverse of the function.y=\sqrt{x+2}-1Use vertex form, y=..., no spaces.

Find the inverse of the function.y=\frac{1}{2}\sqrt{x-3}Use y=... form, no spaces.

Find the inverse of the function.y=-3\sqrt{x}+6Use y=... form, no spaces.

Find the inverse of the function.y=\frac{1}{2}x^2Use y=... format, no spaces.

Find the inverse of the function.y=(x-3)^{2} + 5Use y=... format, no spaces.

Find the inverse of the function.y=(\frac{1}{2}x+1)^{2}Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.The question #6 is in vertex form. Use it and its graph to help you.Use y=... format, no spaces.

Put y=-x^{2} + 6x in vertex form.Use y=... format, no spaces.

Put y=2x^{2} + 4x+2 in vertex form.Use y=... format, no spaces.

Put y=x^{2} + 3x-1 in vertex form.Use y=... format, no spaces. Use fractions, not decimals.

Put y=5x^{2}-2x in vertex form.Use y=... format, no spaces. Use fractions, not decimals.

Are the functions shown inverses of each other? Why or why not?

Match the functions with their inverses.Hint: words go with words and functions (y=...) go with functions.

Find the inverse of the function.y=\sqrt{x+2}-1Use vertex form, y=..., no spaces.

Find the inverse of the function.y=\frac{1}{2}\sqrt{x-3}Use y=... form, no spaces.

Find the inverse of the function.y=-3\sqrt{x}+6Use y=... form, no spaces.

Find the inverse of the function.y=\frac{1}{2}x^2Use y=... format, no spaces.

Find the inverse of the function.y=(x-3)^{2} + 5Use y=... format, no spaces.

Find the inverse of the function.y=(\frac{1}{2}x+1)^{2}Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.The question #6 is in vertex form. Use it and its graph to help you.Use y=... format, no spaces.

Put y=-x^{2} + 6x in vertex form.Use y=... format, no spaces.

Put y=2x^{2} + 4x+2 in vertex form.Use y=... format, no spaces.

Put y=x^{2} + 3x-1 in vertex form.Use y=... format, no spaces. Use fractions, not decimals.

Put y=5x^{2}-2x in vertex form.Use y=... format, no spaces. Use fractions, not decimals.

Are the functions shown inverses of each other? Why or why not?

Match the functions with their inverses.
Hint: words go with words and functions (y=...) go with functions.

Find the inverse of the function.

y=\sqrt{x+2}-1

Use vertex form, y=..., no spaces.

Find the inverse of the function.

y=\frac{1}{2}\sqrt{x-3}

Use y=... form, no spaces.

Find the inverse of the function.

y=-3\sqrt{x}+6

Use y=... form, no spaces.

Find the inverse of the function.

y=\frac{1}{2}x^2

Use y=... format, no spaces.

Find the inverse of the function.

y=(x-3)^{2} + 5

Use y=... format, no spaces.

Find the inverse of the function.

y=(\frac{1}{2}x+1)^{2}

Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.

As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.
The question #6 is in vertex form. Use it and its graph to help you.

Use y=... format, no spaces.

Put y=-x^{2} + 6x in vertex form.

Use y=... format, no spaces.

Put y=2x^{2} + 4x+2 in vertex form.

Use y=... format, no spaces.

Put y=x^{2} + 3x-1 in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Put y=5x^{2}-2x in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Are the functions shown inverses of each other?

Why or why not?

Match the functions with their inverses.
Hint: words go with words and functions (y=...) go with functions.

Find the inverse of the function.

y=\sqrt{x+2}-1

Use vertex form, y=..., no spaces.

Find the inverse of the function.

y=\frac{1}{2}\sqrt{x-3}

Use y=... form, no spaces.

Find the inverse of the function.

y=-3\sqrt{x}+6

Use y=... form, no spaces.

Find the inverse of the function.

y=\frac{1}{2}x^2

Use y=... format, no spaces.

Find the inverse of the function.

y=(x-3)^{2} + 5

Use y=... format, no spaces.

Find the inverse of the function.

y=(\frac{1}{2}x+1)^{2}

Use y=... format, no spaces.

Put y=x^{2} - 4x -3 in vertex form.

As a reminder, vertex form of a quadratic: y=A(x-h)^{2}+k. Desmos will help you.
The question #6 is in vertex form. Use it and its graph to help you.

Use y=... format, no spaces.

Put y=-x^{2} + 6x in vertex form.

Use y=... format, no spaces.

Put y=2x^{2} + 4x+2 in vertex form.

Use y=... format, no spaces.

Put y=x^{2} + 3x-1 in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Put y=5x^{2}-2x in vertex form.

Use y=... format, no spaces. Use fractions, not decimals.

Are the functions shown inverses of each other?

Why or why not?