Transformation of Parent Functions

If the blue function is f(x)=x², then the red function must be

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

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

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSF-IF.C.7A

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

• (2,-4)
• (-2,4)
• (8,4)
• (-2,-8)

Tags

CCSS.7.EE.A.1

DOMAIN?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• -2, 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the RANGE?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

  The blue function is the parent function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

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

Tags

CCSS.HSF.BF.B.3

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11