Functions and Transformations

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

If you have a point G (-3, 2), what will G' be after the translation (x - 7, y + 3)?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Evaluate the function, f(x)=2x, when x=4.

• f(4) = 4

• f(4) = 2

• f(4) = 6

• f(4) = 8

Tags

CCSS.HSF.IF.A.2

• (4, 5)

• (-5, -4)

• (-4, 5)

• (5, -4)

• (-4, -5)

• (-5, 4)

• (4, -5)

• (5, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3

• Translated left 3

• Translated up 3

• Translated down 9