Quadratic Functions and Factoring

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

A quadratic function has zeros at x=-1/2 and x=2/3. Write the quadratic function in standard form.

• y=6x² - 5x - 2

• y=6x² - x - 2

• y=(2x+1)(3x-2)

• y=(x + 1/2)(x - 2/3)

Solve the quadratic equation.

12x² - 4x = 5

Select all correct solutions.

• x=1/2

• x=-1/2

• x=5/6

• x=6/5

Tags

CCSS.HSA-REI.B.4B

Find the roots of the quadratic function.

• x=-4, x=0

• x=-2

• x=4

• No real roots

When factoring -24y² + 16y + 30, you should begin by factoring out what common factor? Do not include any spaces.

Which is the vertex of y = x²+ 16x + 71 ?

• V(-8, 7)

• V(-8, 3)

• V(8, 10)

• V(16, -2)

Factor completely: 5x²-11x+6

• (5x+6)(x-1)

• (5x-6)(x-1)

• (2x-7)(x-3)

• (5x-6)(x+1)

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

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

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2