3.6 Notes Part 2_Alg1

Which transformation occurs from f(x) = x to g(x) = f(x) + 2?

• Horizontal translation left 2 units

• Horizontal translation right 2 units

• Vertical translation up by 2 units.

• Vertical translation down by 2 units.

Which transformation occurs from f(x) = x to g(x) = 2f(x)?

• Vertical stretch by a factor of 2

• Vertical shrink by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal shrink by a factor of 1/2

Which transformation on

f(x) = x

is g(x) = -f(x)

• Vertical stretch by -1

• Reflection over the x-axis

• Horizontal stretch by -1

• Reflection over the y-axis

Which transformation occurs from f(x) = x to g(x) =  $\frac{1}{4}f\left(x\right)$  ?

• Vertical stretch by a factor of 4

• Vertical shrink by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal shrink by a factor of 1/4

How did the equation shift from the parent function, f(x) to g(x) = f(x - 4)

• horizontal translation right 4 units

• horizontal translation left 4 units

• vertical translation up 4 units

• vertical translation down 4 units

Which transformation on

f(x) = x + 2

is g(x) = f(-x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

 $f\left(x\right)=x$  and  $g\left(x\right)=-x+7$  
Which statement describes the transformations from f to g? 

• Reflection over x-axis

  Vertical translation up 7 units

• Vertical stretch by a factor of -1

  Horizontal translation right 7

• Horizontal shrink by a factor of -1

  Vertical Translation up 7 units

• Reflection over the y-axis

  Horizontal translation left 7 units

 $f\left(x\right)=x$  and  $g\left(x\right)=2x-4$  
Which statement describes the transformations from f to g?

• Reflection over the y-axis

  Horizontal translation right 4 units

• Reflection over the x-axis

  Vertical translation up 2 units

• Horizontal stretch by a factor of 2

  Horizontal translation up 4 units

• Vertical stretch by a factor of 2

  Vertical translation down 4 units