Translations of Parent Functions

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

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

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

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 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

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 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