Transformations

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

• g(x) = 5x²

• g(x) = -5x²

• g(x) = x² + 5

• g(x) = (x + 5)²

Tags

CCSS.HSF.BF.B.3

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

 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)=1/3x²
• C.  g(x) = x² - 3
• D.  g(x) = (x-3)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

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) = 2x²
• B.  g(x) = 1/2x²
• C.  g(x) = x² + 2
• D.  g(x) = (x + 2)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

• Reflect over y-axis
  Left 3
• Reflect over y-axis
  Right 3
• Reflect over x-axis
  Left 3
• Reflect over x-axis
  Right 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What are the transformations to the graph compared to the parent function y=√(x)?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3