Transformation of Functions Honors

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 below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

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

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

Tags

CCSS.HSF-IF.C.7A

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Which equation represents this graph.

• f(x)=∣3x∣

• f(x)=2∣x∣-3

• f(x)=∣x∣

• f(x)=3∣x∣-2

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2