Algebra II 4.1 - 4.3 Review

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSF-IF.C.7A, HSA-REI.B.4B, 8.EE.C.7B

Standards-aligned

Kristi Karcher

Used 42+ times

FREE Resource

4 Slides • 13 Questions

Algebra II 4.1 - 4.3 Review

Graphing and factoring Quadratics

Graphing Quadratics

Standard Form: y = ax² + bx + c
Axis of symmetry:
$x=-\frac{b}{2a}$
Vertex: The value you found above gives you the x-coordinate, plug in to find y-coordinate.

Multiple Choice

What is the axis of symmetry for the quadratic function:

f\left(x\right)=-3x^2+12x-13

*Remember to use the equation x = -b/2a*

$x=18$

$x=-2$

$x=2$

$x=-18$

Multiple Select

Choose all the correct properties of the graph of this quadratic function:

y\ =\ 3x^2-12x+4

The parabola opens upward.

The parabola opens downward.

The axis of symmetry is x = 2.

The axis of symmetry is x = -18.

The y-intercept is (0, 4).

Multiple Choice

Graph the quadratic function:

g(x) = 2x² - 12x + 16

Multiple Choice

What is the vertex of the parabola?

f(x) = -3x² + 12x - 13

*You found the AOS for this one a few questions ago*

(2, -1)

(-2, -49)

(-18, -1021)

(18, -769)

Vertex Form of a Quadratic

y = a(x - h)² + k
Vertex: (h, k)
Axis of Symmetry: x = h

Multiple Choice

What is the vertex of the quadratic function?

h\left(x\right)=-2\left(x-2\right)^2+2

*Think (h, k)*

(-2, 2)

(2, -2)

(2, 2)

(-2, -2)

Multiple Choice

What is the axis of symmetry for the graph of the quadratic function shown?

y=-\left(x-1\right)^2+4

x = -1

x = 1

x = -4

x = 4

Multiple Choice

Graph the quadratic function:

f\left(x\right)=-\left(x+3\right)^2+4

Multiple Choice

What is the minimum value for the graph of the quadratic function?

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

-2

-5

Factoring Quadratics

GCF - Greatest Common Factor
Reverse FOIL Method
Solving by Factoring

Multiple Choice

Factor the quadratic expression:

6x^2-3x

$6\left(x^2-3x\right)$

$3x^2\left(2x-1\right)$

$3x\left(2x-1\right)$

$2x\left(3x+1\right)$

Multiple Choice

Factor the quadratic expression:

x^2+2x-35

(x +7)(x + 2)

(x + 7)(x + 5)

(x - 7)(x + 5)

(x + 7)(x - 5)

Multiple Choice

What are the solutions to the equation (Hint: Factor to solve)?

x^2+2x-35=0

{-8, 0}

{4, 2}

{5, -7}

{-7, -4}

Multiple Choice

Solve by factoring:

p^2-3p=0

{0, 3}

{0, -3}

{0}

no solution

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Algebra II 4.1 - 4.3 Review

Graphing and factoring Quadratics

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