Intro to Transformations of Graphs

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

What is the equation of this graph?

• y = - x²

• y = - x² - 3

• y = - x² + 3

• y = x² + 3

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

Identify the vertex

• (-1,-9)

• (0,-8)

• (-4,0)

• (0,0)

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Describe the transformation

f(-x)

• reflect over the x-axis

• shift up

• shift down

• reflect over the y-axis

Describe the transformation

f(x) + 4

• shift left 4

• shift right 4

• shift up 4

• shift down 4

Describe the transformation

f(x+5)

• shift left 5

• shift right 5

• shift up 5

• shift down 5

Describe the transformation

f(x-7)

• shift left 7

• shift right 7

• shift up 7

• shift down 7

• up 3

  left 12

• right 3

  down 12

• left 3

  up 12

• left 3

  down 12