Transformations Parent

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

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

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

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

What is the equation of this parent graph?

Tags

CCSS.HSF-IF.C.7B

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Describe the transformation that is applied to the parent function. f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

• Compresses by (1/2), Shifts left 1, down 1

• Compresses by (1/2), Shifts right 1, down 1

• Compresses by (1/2), Shifts left 1, up 1

• Compresses by (1/2), Shifts right 1, up 1

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

• f(x) = Ix+4I +3

• f(x) = Ix+4I -3

• f(x) = -Ix+3I +4

• f(x) = -Ix-4I +3