Quadratic Function Transformations

What is the axis of symmetry of this parabola?

• -4

• x = -4

• x = -2

• y = -4

Tags

CCSS.HSF-IF.C.7A

Where does the graph
y=3(x-1) ² - 8 increase?

• (-∞,8)

• (8,∞)

• (-∞,1)

• (1,∞)

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

What is the constant that should be added to the expression to complete the square: x²+16x

• 16

• 8

• 64

• 32

Tags

CCSS.HSA-REI.B.4B

Convert to vertex form.

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

• f(x)=(x-4)²-2

• f(x)=-4(x-4)²-2

• f(x)=1/4(x+4)²-2

• f(x)=-1/4(x-4)²-2

Write the equation of the quadratic in standard form given the following:
axis of symmetry: x=1
Points: (2, 5) (-2, 21)

• f(x)=(x-1)²+5

• f(x)=1/2(x-1)²+3

• f(x)=2(x-1)²+3

• f(x)=2(x-1)²-3

What is the axis of symmetry of the given function?

• y = 1

• y = -1

• x = 1

• x = -1

Does y = -4x² have a maximum or minimum value?

• maximum

• minimum

Tags

CCSS.HSF-IF.C.7A