Transformations-translations and reflections

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tags

CCSS.HSF.BF.B.3

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which equation below is a quadratic reflected across the x-axis?

• $f\left(x\right)=\left(-x\right)^2$

• $f\left(x\right)=-x^{3\ }$

• $f\left(x\right)=-x^2$

• None of the answer choices

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Which equation below is a square root function reflected across the x-axis?

• $f\left(x\right)=-\sqrt{x}$

• $f\left(x\right)=\sqrt{-x}$

• $f\left(x\right)=-x^{2\ }$

• $f\left(x\right)=\left(-x\right)^2$

Tags

CCSS.HSF-IF.C.7B

Which equation below is a square root function reflected across the y-axis?

• $f\left(x\right)=-\sqrt{x}$

• $f\left(x\right)=\sqrt{-x}$

• $f\left(x\right)=-x^{2\ }$

• $f\left(x\right)=\left(-x\right)^2$

Tags

CCSS.HSF-IF.C.7B

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

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