Question 1

Which of the following is the vertex form of a quadratic equation?

Accepted Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Question 2

If the vertex of a parabola in vertex form is at the point (3, -2), which equation represents its graph?

Accepted Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Question 3

What is the axis of symmetry for the quadratic equation given in vertex form

y = a(x+1)^2 - 4

?

Accepted Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Question 4

What happens to the graph of the quadratic equation

y = a(x+1)^2 - 4

when you change it to

y = 2(x-3)^2 + 1

?

Accepted Answer

The graph shifts down by 4 units.

Answer

The graph shifts up by 4 units.

Answer

The graph shifts right by 4 units.

Answer

The graph shifts left by 4 units.

Question 5

How does the graph of the quadratic equation

y = a(x+1)^2 - 4

differ from the parent function

y = 2(x-3)^2 + 1

?

Accepted Answer

It opens downward and is shifted left by 2 units and up by 3 units.

Answer

It opens upward and is shifted left by 2 units and up by 3 units.

Answer

It opens upward and is shifted right by 2 units and down by 3 units.

Answer

It opens downward and is shifted right by 2 units and down by 3 units.

Question 6

If the graph of a quadratic equation

y = a(x+1)^2 - 4

is reflected over the x-axis, what is the new equation?

Accepted Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Question 7

Which of the following transformations will occur to the graph of the quadratic equation

y = a(x+1)^2 - 4

if it is changed to

y = 2(x-3)^2 + 1

?

Accepted Answer

The graph will become wider.

Answer

The graph will shift up by 0.5 units.

Answer

The graph will shift left by 0.5 units.

Answer

The graph will become narrower.

Question 8

What effect does changing the equation

y = a(x+1)^2 - 4

to

y = 2(x-3)^2 + 1

have on the graph?

Accepted Answer

The graph shifts down by 4 units.

Answer

The graph shifts up by 4 units.

Answer

The graph shifts right by 4 units.

Answer

The graph shifts left by 4 units.

Question 9

Which equation represents a parabola with a vertex at (0, -3) that opens downward?

Accepted Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Answer

y = a(x-h)^2 + k

Question 10

What transformation is applied to the parent function

y = a(x+1)^2 - 4

to become

y = 2(x-3)^2 + 1

?

Accepted Answer

The graph shifts right by 5 units and up by 7 units.

Answer

The graph shifts left by 5 units and up by 7 units.

Answer

The graph shifts left by 5 units and down by 7 units.

Answer

The graph shifts right by 5 units and down by 7 units.

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