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Multiply Factors
Axis of Symmetry
Solutions
Vocabulary
Vertex
100
(x + 3)(x + 2)
What is x^2 + 5x + 6?
100

This is the axis of symmetry for the equation y = 2x^2 + 8x – 5.

What is x = -2?

100
x^2 + 7x + 12 = 0
What is x = -3, -4?
100

The graph of a quadratic equation is called this

What is a parabola?

100
y = 3x^2 + 5x - 9
What is (-5/6, -133/12)?
200
(x + 9)(x - 7)
What is x^2 + 2x - 63?
200

This is the axis of symmetry for y=3x^2+6x-2

What is x = -1?

200
x^2 + 5x - 150 = 0
What is x = 10, -15?
200

The solutions to a quadratic equations are sometimes referred to as this "number"

What are "zeros" "x-intercepts" or "roots"?

200
y = -4x^2 - 6x + 3
What is (-3/4, 21/4)?
300
(x - 4)(x - 7)
What is x^2 - 11x + 28?
300

This is the axis of symmetry for y = -4x^2 + 3.

What is x = 0?

300
3x^2 + 10x - 1 = -4
What is x = -1/3, -3?
300

This line cuts a parabola into two equal halves

What is the axis of symmetry?

300
y = 3x^2 - 8
What is (0, -8)?
400
(3x - 4)(x + 7)
What is 3x^2 + 17x - 28?
400

What is the axis of symmetry of y = 4x^2 + 7?

What is x = 0?

400
x^2 + 5x + 9 = 9
What is x = 0, -5?
400

This part of a quadratic equation is used vertex form and will also tell you if the parabola opens upward or downward

What is the a value OR lead coefficient?

400
y = 6x^2 + 5x
What is (-5/12, -25/24)?
500
(x + 1)(x^2 + 2x + 3)
What is x^3 + 3x^2 + 5x + 3?
500

Why does the axis of symmetry equation always start with x=...?

Because the line of symmetry crosses the x-axis when it's drawn

500
14x^2 - 28x = 0
What is x = 0, 2?
500

The y-coordinate of this point is referred to as the minimum or maximum value, depending on the direction a parabola opens.

What is the vertex?

500
y = x^2 + 3x + 21
What is (-3/2, 75/4)?