Graphing Quadratic Equations

Graphing Parabolas

Math 2

Multiple Select

Which are applications of quadratic functions (parabolas)?

• bridges and arches

• path of rockets

• Angry Bird

• satellite dishes

Multiple Choice

Give the form of this equation.

$$y=2x^2+4x-9$$

• Standard Form

• Intercept Form

• Vertex Form

Multiple Choice

Give the form of this equation.

$$y=\left(2x+3\right)\left(5x-1\right)$$

• Standard Form

• Intercept Form

• Vertex Form

Multiple Choice

Give the form of this equation.

$$y=-2\left(x+3\right)\left(x+4\right)$$

• Standard Form

• Intercept Form

• Vertex Form

Multiple Choice

Give the form of this equation.

$$y=-\left(2x+3\right)^{2\ }+2$$

• Standard Form

• Intercept Form

• Vertex Form

Fill in the Blanks

Give the y-intercept.

$y=-7x^2-56x-119$

Fill in the Blanks

Give the y-intercept.

$y=-\left(x-6\right)^2+6$

Fill in the Blanks

Give the y-intercept.

$y=-2\left(x-3\right)\left(x+4\right)$

Fill in the Blanks

Give the axis of symmetry.

$y=-2x^2+28x-108$

x = ?

Fill in the Blanks

Give the axis of symmetry.

$y=-\left(x-10\right)^2-2$

x = ?

Fill in the Blanks

Give the axis of symmetry.

$y=\left(x-6\right)\left(x+2\right)$

x = ?

Multiple Choice

Give the x-intercepts.

$$y=x\left(x+3\right)$$

• x = 0, 3

• x = 3, 3

• x = 0, -3

• none of these

Multiple Select

Give the x-intercepts.

$$y=-\left(x+3\right)^2$$

• x = -3

• x = -3

• x = 3

• x = 0

Dropdown

What is one of the factors of:

$$x^2+4x-32?$$

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Select answer

Fill in the Blanks

Factor:

$x^2-8x+12$

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Multiple Choice

Factor:

2x² + 3x - 9

• 2(x + 3)(x - 3)

• (2x - 3)²

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)

Multiple Choice

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)
• (5x - 2)(x + 1)
• (7x - 1)(x - 4)
• (5x - 2)(x - 1)

Multiple Choice

Factor completely.
3x² + 10x - 8

• (3x + 2)(x + 4)
• (7x + 5)(x + 2)
• (3x - 2)(x + 4)
• (7x - 3)(x - 4)

Fill in the Blanks

Factor 8x² + 27x + 9

Fill in the Blanks

Factor x² + 7x - 30

Fill in the Blanks

Factor 5x² + 17x + 6

Multiple Choice

Give the GCF for the trinomial.

$$y=2x^2-7x-14$$

• GCF = 2

• GCF = -7

• GCF = 14

• None (GCF = 1)

Multiple Choice

Give the GCF for the trinomial.

$$y=4x^2-18x-10$$

• GCF = 2

• GCF = 4

• GCF =

• None (GCF = 1)

Multiple Choice

Give the y-intercept for the function.

$$y=4x^2-18x-10$$

• (0, 10)

• (0, -10)

• (0, 4)

• (0, 2)

Multiple Choice

Give the AOS for the function.

$$y=4x^2-18x-10$$

• x = -18

• x = -4

• x = 2.25

Multiple Select

Give the x-intercepts for the function.

$$y=4x^2-18x-10$$

• (5, 0)

• (-0.5, 0)

• (2, 0)

• (-5, 0)

Multiple Select

Give the x-intercepts for the function.

$$y=4x^2-18x-10$$

• (5, 0)

• (-0.5, 0)

• (2, 0)

• (-5, 0)

Multiple Choice

Give the vertex for the function.

$$y=4x^2-18x-10$$

• y = 4(2.25)² - 18(2.25) - 10 = -30.25

• y = (4*2.25)² - 18*2.25 - 10 = 30.5

• y = 4(x)² - 18(10) - 10 = 20.25

Fill in the Blanks

Give the vertex for the function.

$y=4x^2-20x-12$

(2.5, ? )

Fill in the Blanks

Give the vertex for the function.

$y=6x^2+15x-36$

(-1.25, ? )