Algebra 2 Transformation

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

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

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

Which of the following notations describes the transformation needed to transform the red graph f(x) to the blue graph?

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

• Horizontal translation

• Vertical translation

• Vertical stretch

• Horizontal stretch

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

Function g(x) can be thought of as a translated (shifted) version of f(x).   g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

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)