Horizontal and Vertical Shifts of Functions

How did the function y=x+7 shift from y=x?

• up 7

• down 7

• left 7

• right 7

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

  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

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

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

How did the function y=x+7 shift from the parent function?

• up 7
• down 7
• left 7
• right 7

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²