Functions Transformation Vertical Stretch and Compress

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Describe the transformation on f(x):

2 f(x)

• shifts 2 units up

• shifts 2 units to the right

• vertical shrink, wider

• vertical stretch, more narrow

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)?

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

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)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5

• Stretch by 2, Reflected over x-axis, Left 5

• Stretch by 2, Reflected over x-axis, Right 5

• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

What is the equation for the red 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

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3