Quadratic Functions and Transformations

What is the parent function of h(x) = 2x² - 3?

• x²

• 2x

• x³

• x² - 3

How does the graph of h(x) = 2x² - 3 differ from the parent graph y = x²?

• It is vertically stretched and shifted down by 3 units.

• It is vertically shrunk and shifted up by 3 units.

• It is reflected over the x-axis and shifted right by 3 units.

• It is shifted left by 2 units and vertically stretched.

What is the domain of p(x) = 2x² - 8x + 8?

• All real numbers

• x > 0

• x < 0

• x ≠ 0

What is the range of g(x) = -½(x - 1)² + 1?

• y ≤ 1

• y ≥ 1

• y > 0

• y < 0

If you graph g(x) = -½(x - 1)² + 1, what transformation has occurred compared to the parent function y = x²?

• The graph is reflected over the x-axis, vertically shrunk, shifted right by 1 unit, and shifted up by 1 unit.

• The graph is vertically stretched, shifted left by 1 unit, and shifted down by 1 unit.

• The graph is reflected over the y-axis, vertically stretched, and shifted down by 1 unit.

• The graph is shifted left by 1 unit and vertically shrunk.

What are the zeros of the function y = –(x + 5)(x – 1)?

• x = –5 and x = 1

• x = 5 and x = –1

• x = 0 and x = 1

• x = –1 and x = 5

Tags

CCSS.HSF-IF.C.7C

Write a quadratic equation in standard form whose graph passes through (–8, 0), (–2, 0), and (–6, 4).

• y = a(x + 8)(x + 2)

• y = a(x – 8)(x – 2)

• y = a(x + 6)(x – 4)

• y = a(x – 6)(x + 4)

Find the zeros of y = x² – 17x + 52.

• x = 13 and x = 4

• x = 12 and x = 5

• x = 15 and x = 2

• x = 17 and x = 52

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

• t = 2.75

• t = 5.5

• t = 88

• t = 16

Tags

CCSS.HSF-IF.C.7A

• 100 feet

• 134 feet

• 12 feet

• 88 feet