Square Root Functions Answers

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Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

y = 2 (x + seven-halves) squared minus one-fourth

y = 2 (x + seven-halves) squared minus one-half

y = 2(x + 7)2 – 73

y = (x + 7)2 – 24

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Which equation has a graph that is a parabola with a vertex at (–2, 0)?

y = –2x2

y = (x + 2)2

y = (x – 2)2

y = x2 – 2

Which equation has a graph that is a parabola with a vertex at (–1, –1)?

y = (x – 1)2 + 1

y = (x – 1)2 – 1

y = (x + 1)2 + 1

y = (x + 1)2 – 1

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?

4 units to the left

4 units to the right

8 units to the left

8 units to the right

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

6 unit left

6 unit right

1 unit left

1 unit right

Which equation is y = 6x2 + 12x – 10 rewritten in vertex form?

y = 6(x + 1)2 – 11

y = 6(x + 1)2 – 10

y = 6(x + 1)2 – 4

y = 6(x + 1)2 – 16

Which equation has a graph that is a parabola with a vertex at (5, 3)?

y = (x – 5)2 + 3

y = (x + 5)2 + 3

y = (x – 3)2 + 5

y = (x + 3)2 + 5

How does the graph of y = a(x – h)2 + k change if the value of h is doubled?

The vertex of the graph moves to a point twice as far from the x-axis.

The vertex of the graph moves to a point twice as far from the y-axis.

The vertex of the graph moves to a point half as far from the x-axis.

The vertex of the graph moves to a point half as far from the y-axis.

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