Transformation of Parent Functions with Horizontal and Vertical Shifts

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7

• x³-7

• (x-7)³

• (x+7)³

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

A horizontal shifts move a function...

• up or down

• left or right

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

• Shifted up 5 units
  Shifted right 3 units
  Stretched vertically by a factor of 3

• Shifted up 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3

• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3

• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 1/3

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

Which equation represents this graph.

• f(x)=(x - 4)² - 3

• f(x)=-(x - 4)² + 3

• f(x)=(x - 4)² + 3

• f(x)=-(x + 4)² + 3

What is the rule for the transformation of g(x) in terms of f(x)?

• g(x)=f(x)+5

• f(x)=g(x)+5

• g(x)=f(x)-5

• f(x)=g(x)-5

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

What function best describes this graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

What is the domain of the graph of the radical function?

• (-infinity, infinity)

• (-7, infinity)

• (0, infinity)

• (4, infinity)