Transformations of Functions

Describe the transformation:

 $g\left(x\right)=\left(x-3\right)^2$  

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation:

 $h\left(x\right)=x^2+7$  

• Shift 7 units down

• Shift 7 units up

• Shift 7 units left

• Shift 7 units right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation: (click on two answers)

 $h\left(x\right)=\left(x-1\right)^2+5$  

• Shift 1 unit left

• Shift 1 unit right

• Shift 5 units up

• Shift 5 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation: (click on two answers)

 $f\left(x\right)=-x^2-7$  

• Reflection over the x-axis

• Reflection over the y-axis

• Shift 7 units up

• Shift 7 units down

Tags

CCSS.HSF.BF.B.3

 If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

• A. g(x)=3x²

• B. g(x)=-3x²

• C. g(x) = x² - 3

• D. g(x) = (x-3)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

CCSS.HSA.REI.C.7

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)
• g(x)=√(x-1)
• g(x)=√x-1
• g(x)=-√x

Tags

CCSS.HSF.BF.B.3

DOMAIN?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• -2, 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3
• x³ - 3
• (x + 3)³
• (x - 3)³

Tags

CCSS.HSF.BF.B.3