Transformation Rules

Describe the transformation on f(x) = x².

f(x) + 7

moved ​ (a)   7

• up

• down

• left

• right

How did we transform from y=x²?

• reflection over y-axis and vertical stretch

• reflection over x-axis and vertical stretch

• reflection over x-axis and horizontal compression

• reflection over y-axis and horizontal compression

If the function f(x) = x² is changed so that a new function is created, 5f(x), how does the new graph compare to f(x)?

• The graph appears wider than the graph of f(x)

• The graph appears narrower than the graph of f(x)

• The graph is shifted 5 units up above f(x)

• The graph of is shifted 5 units down below f(x)

How does the function g(x) = -x² compare the the parent function f(x)?

• The new function g(x) is reflected vertically across the x-axis

• The new function g(x) is reflected horizontally across the y-axis

• The new function g(x) has all the x-values multiplied by a -1

• The new function g(x) has been shifted 1 unit down

Which of the following shows a vertical compression of the parent function?

• 5/2f(x)²

• 3/5f(x)²

• f(4x)²

• f(3/5x)²

Which of the following shows a vertical stretch of the parent function?

• 3/2f(x)²

• 2/3f(x)²

• f(3x)²

• f(1/3x)²

Which of the following shows a horizontal stretch of the parent function?

• 2f(x)²

• -f(x)²

• f(1/3x)²

• f(3x)²

Match the equation to its description. (a)   2

• Left

• Up

• Down

• Right

Match the following

• shift right

• horizontal compression

• f(x + 5)

• horizontal stretch

• f(x – 4)

• shift left

• f(4x)

• vertical stretch

• 3f(x)

Given point A(-2, 1) and the transformation rule: T(x, y)-->(x+3, y-7)

Find A'

**NOTE Type your answer (#,#) NO SPACES