Parent Function Translations

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of  $f\left(x\right)$  ?

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Given the function  $y=\left(x+4\right)^2+2$  , what is the parent function?

•  $y=x^2$  

•  $y=a\left(x-h\right)^2+k$  

•  $y=mx+b$  

•  $y=0\left(x-0\right)^2+0$  

Tags

CCSS.HSF.IF.C.7

What kind of shift happens with this function?

• 4 points up
• 4 points to the left
• 4 points to the right
• 4 points down

Tags

CCSS.HSF.BF.B.3

What kind of shift  is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

Tags

CCSS.HSF.BF.B.3

What equation represents the quadratic function?

• y = (x - 4)² + 1
• y = (x + 1)² - 4
• y = (x - 4)² - 1
• y = (x - 1)² - 4 

Tags

CCSS.HSF-IF.C.7A

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

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

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

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

What does this transformation say to do?

f(x) = 2x -----> g(x) = 2x + 4

• slide down 4

• slide up 4

• slide right 4

• slide left 4

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the graph f(x) = x³ -----> g(x) = (x - 3)³ -2

• Right 3, Down 2

• Left 3, Up 2

• Right 3, Up 2

• Left 3, Down 2

Tags

CCSS.HSF.BF.B.3

If the parent function is f(x) = √(x) then what translation describes what would happen to the graph.

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3