Transformations of Vertex Form

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

Which transformations were applied to form the red graph from the blue graph?

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, stretch

• reflection, shrink

Which equation shows a translation of 3 units left, 2 units down, and a vertical stretch, to the graph of 𝑦=𝑥2 ?

• 𝑦= 1/2 (𝑥−3)²−2

• 𝑦= 1/2 (𝑥+3)²−2

• 𝑦= 2 (𝑥−3)²−2

• 𝑦= 2 (𝑥+3)²−2

y = (x - 3)² + 1

• Right 3, Up 1

• Right 3, Down 1

• Left 3, Up 1

• Left 3, Down 1

y = (x - 2)² - 3

• Right 2, Up 3

• Right 2, Down 3

• Left 2, Up 3

• Left 2, Down 3

y = (x + 1)² - 4

• Right 1, Up 4

• Right 1, Down 4

• Left 1, Up 4

• Left 1, Down 4

y = (x + 2)² + 2

• Right 2, Up 2

• Right 2, Down 2

• Left 2, Up 2

• Left 2, Down 2