Quadratic Functions Transformations Review

What is the vertex form of a quadratic function?

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

• Horizontal shift

• Vertical stretch or compression

• Vertical shift

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

• Shifted 2 units to the right and 1 unit up

• Shifted 2 units to the left and 1 unit down

• Stretched by a factor of 3 and shifted 2 units to the right

• Stretched by a factor of 3, shifted 2 units to the right, and 1 unit up

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Reflected over the x-axis, stretched by a factor of 5, shifted 1 unit to the left and 3 units up

• Reflected over the y-axis, compressed by a factor of 5, shifted 1 unit to the right and 3 units down

• Reflected over the x-axis, compressed by a factor of 5, shifted 1 unit to the right and 3 units up

• Reflected over the x-axis, stretched by a factor of 5, shifted 1 unit to the right and 3 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Choose the equation that fits the transformation from the parent function. Hint: find h and k first.

y = - (x + 5)²

• Flipped over the x-axis, up 5.

• Flipped over the x-axis, right 2.

• Flipped over the x-axis, down 5.

• Flipped over the x-axis, left 5.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Tags

CCSS.HSF.BF.B.3

• up

• down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Tags

CCSS.HSF.BF.B.3