Practice Quadratic Transformations

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

• - Horizontal shrink of 9

  - Shift right 3 units

  - Shift down 1 unit

• - Horizontal stretch of 3

  - Shift right 3 units

  - Shift down 1 unit

• - Vertical stretch of 3

  - Shift right 3 units

  - Shift down 1 unit

• - Vertical shrink of 9

  - Shift left 3 units

  - Shift up 1 unit

• - reflection over

  x - axis

  - vertical stretch of 3/2

  - shift left 4 units

  - shift down 5 units

• - reflection over

  y - axis

  - vertical stretch of 3/2

  - shift right 4 units

  - shift down 5 units

• - reflection over

  x - axis

  - horizontal stretch of 3/2

  - shift right 4 units

  - shift down 5 units

• - reflection over

  y - axis

  - horizontal shrink of 3/2

  - shift left 4 units

  - shift down 5 units

• - reflection over

  x-axis

  - vertical shrink of 1/3

  - shift left 8 units

  - shift down 3 units

• - reflection over

  y-axis

  - vertical stretch of - 1/3

  - shift left 8 units

  - shift down 3 units

• - reflection over

  x-axis

  - vertical shrink of 1/3

  - shift right 8 units

  - shift down 3 units

• - reflection over

  y-axis

  - vertical stretch of 1/3

  - shift left 8 units

  - shift down 3 units

• - Vertical stretch of 3

  - Shift up 5 units

• - Horizontal stretch of 3

  - Shift down 5 units

• -Reflection over x-axis

  -Vertical shrink of 3

  -Shift up 5 units

• - It is exactly the same

• - reflection over

  y-axis

  - shift down 2 units

• - reflection over

  x-axis

  - shift up 1 unit

• - reflection over

  x-axis

  - shift down 1 unit

• - reflection over

  y-axis

  - shift down 1 unit

• - reflection over

  x-axis

  - shift right 1 unit

Match the equation to its description.

• Stretched by 4 and up 4

• Compressed by 4 and up 4

• Stretched by 4 and left 4

• Compressed by 4 and left 4