Parent Functions and Transformations

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF-IF.C.7B

• y = - √(x + 1)
• y = √(x + 1)
• y = - √(x) - 1
• y = - √(x) + 1

Tags

CCSS.HSF-IF.C.7B

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 

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D

What shifts have occurred?

• left 1, up 5
• left 1, down 5
• right 1, down 5
• right 1, up 5

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF-IF.C.7B