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Quiz 3.2 - Vertex Form & Inverses

Last updated almost 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.
vertex form of a quadratic: y=A(x-h)^{2}+k
where (h, k) is the vertex.
1

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

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

Find the inverse of the function.

y=\sqrt{x+2}-1

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

1

Find the inverse of the function.

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

Use y=... form, no spaces.

1

Find the inverse of the function.

y=-3\sqrt{x}+6

Use y=... form, no spaces.

1

Find the inverse of the function.

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

Use y=... format, no spaces.

1

Find the inverse of the function.

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

Use y=... format, no spaces.

1

Find the inverse of the function.

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

Use y=... format, no spaces.

1

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.

1

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

Use y=... format, no spaces.

1

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

Use y=... format, no spaces.

1

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

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

1

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

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

1

Are the functions shown inverses of each other?

Why or why not?