Transformations Standard and Vertex Form

What does the h term tell you?

• left or right

• left or right, opposite sign, axis of symmetry, x-value of the vertex.

• axis of symmetry, x-value of the vertex

• nothing.

Tags

CCSS.HSF-IF.C.7A

What does the k term tell you?

• up.

• down.

• up/down, y-value in the vertex

• nothing

Describe the transformation below: -\left(x+3\right)^2+6

• reflect over the x-axis

• reflect over the x-axis, left: 3, up: 6

• stretch, left: 3, down: 6

• left: 3, down: 6

Describe the transformation below: -3\left(x+4\right)^2-1

• stretch by 3, right: 4, down: 1

• reflect over the x-axis, right: 4, down: 1

• reflect over the x-axis, stretch by 3, left: 4, down: 1

• stretch by 4, down: 3, left: 1

Which of the following represents the quadratic parent function of y = x²  shifted right 7 units?

• A

• B

• C

• D

Isla is designing a garden and wants to create a path that reflects over the x-axis and is translated 7 units down. Which function represents the path's shape?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

• -2

• -6

• 2

• 6

• 0

• 5

• -2

• -5

• 2

• 0

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Which of the following describes the transformations done to the quadratic parent function of y = x²  to obtain y = 2x² + 4 ?

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4