Chapter 6 - Transformations

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

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

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

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

• g(x) = x² + 2

• g(x) = x² - 2

• g(x) = (x + 2)²

• g(x) = (x - 2)²

What are the transformations of the

y=3(x-4)² from the parent function y = x² ?

• horizontal shift right 4, vertical stretch by a factor of 3

• horizontal shift left 4, vertical stretch by a factor of 3

• horizontal shift right 4, vertical stretch by a factor of 1/3

• horizontal shift right 4, vertical shift up 3

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

f(x) = ⅔(x - 7)²

• Vertical shrink of ⅔, shifted right 7

• Horizontal shrink of ⅔, shifted left 7

• Vertical stretch of ⅔, shifted right 7

• horizontal stretch of ⅔, shifted left 7

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

f(x) = 5x² + 2

• vertical stretch of 5, shifted up 2

• vertical shrink of 1/5, shifted up 2

• vertical stretch of 5, shifted down 2

• vertical shrink of 1/5, shifted down 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)

Tags

CCSS.HSF.BF.B.3

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

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

• shifted up five units

  reflection over the y-axis

• shifted down five units

  reflection over the y-axis

• shifted left 5 units

  reflection over the x-axis

• shifted right 5 units

  reflection over x-axis