Transformations review

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

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

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

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

Which equation represents the parent quadratic function being vertically stretched by a factor of 2, translated 5 units to the right and translated 3 units down?

• $y=2\left(x-5\right)^2-3$

• $y=2\left(x+5\right)^2-3$

• $y=\frac{1}{2}\left(x+5\right)^2-3$

• $y=\frac{1}{2}\left(x-5\right)^2-3$

Given $h\left(x\right)=-2x^2+1$  , describe the transformations from the parent function.

• reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit up

• reflect in the x-axis, vertically compressed by a factor of 2 and translate 1 unit up
  

• reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit right
  

• reflect in the y-axis, vertically stretched by a factor of 2 and translate 1 unit left
  

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1

What is the equation of this graph?

• f(x) = (x + 2)² - 3
• f(x) = (x - 2)² - 3
• f(x) = |x + 2| - 3
• f(x) = |x - 2| - 3

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 equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4