Transformation of Functions

Describe the transformation of y = f(x) for the new function

y = f(x) - 5

• The graph of y = f(x) was horizontally translated to the right 5 units.

• The graph of y = f(x) was horizontally translated to the left 5 units.

• The graph of y = f(x) was vertically translated up 5 units.

• The graph of y = f(x) was vertically translated down 5 units.

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

What are the transformations?

y=3(x-4)²?

• horz translation right 4, vert stretch by a factor of 3

• horz translation left 4, vert stretch by a factor of 3

• horz translation right 4, vert stretch by a factor of 1/3

• horz translation right 4, vert translation up 3

Describe the transformation of y = f(x) for the new function

f(x) = ⅔(x - 7)²

• Vert. compression by a factor of ⅔

  Horz. translation right 7 units

• Vert. compression by a factor of ⅔

  Horz. translation left 7 units

• Vert. stretch by a factor of ⅔

  Horz. translation right 7 units

• Vert. stretch by a factor of ⅔

  Horz. translation left 7 units

Describe the transformation of y = f(x) for the new function

f(x) = 5x² + 2

• Vert. stretch by a factor of 5

  Vertical translation up 2 units

• Vert. compression by a factor of 5

  Vert. translation up 2 units

• Vert. stretch by a factor of 5

  Vert. translation down 2 units

• Vert. compression by a factor of 5

  Vert. translation down 2 units

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

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• translated up 5 units

  reflection in x-axis

• translated down five units

  reflection in x-axis

• translated left 5 units

  reflection x-axis

• translated right 5 units

  reflection x-axis

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

How did the equation shift from the parent function?

y = f(x) + c

• translated up "c" units

• translated down "c" units

• Stretches vertically by a factor of 3

• translated right "c" units

How did the equation shift from the parent function? y = f(x - 4)

• translated right 4 units

• translated left 4 units

• Vertical Stretch by a factor of 4

• translated down 4 units