Solving/Factoring
Quadratic Formula
Graphing
Vocabulary
Random
100

x^2 +5x -14 =0

-7, 2

100

5x^2+8x-4=0

2/5, -2

100

What chart do we use when graphing equations?

Data Table

100
What is the name of the point where the values of y start to repeat?
The vertex point
100
Factor x^2-25
(x+5)(x-5)
200

x^2-5x+6=0

2,3

200

What is the first step for solving an equation using the quadratic formula?

Make sure the equation is in standard form, which means it should equal 0, or substitute for a, b and c

(Also, evaluate the discriminant.)

200
What is the name of the graph for quadratic equations?
A parabola
200

Each graph of a quadratic equation always has what?

Vertex, Axis of Symmetry, U shape, etc.

200

What is the number one rule for the solutions of any quadratic equation? Hint: There should always be 2 _____ solutions.

Real

300

6x^2-11x+3=0

1/3, 3/2

300

5x^2-9x-5=0

(Please round answers to the nearest tenth.)

2.2, -.4

300
What is the shape of a parabola?
A "u" shape
300
What tells us the number of solutions for x when using the quadratic formula?
The discriminant
300

When solving for the discriminant, when do you get 2 non real solutions?

When b^2-4ac is less than 0

400

3x^2-20x-7=0

-1/3,7

400

3x^2+11x+9=0

-11+/_ sqrt13 divided by 6

400

If the coefficient of "a" changes from 1 to a -1, what happens to the graph?

It flips.

400
Which axis does the axis of symmetry go through?
The x-axis
400
When graphing quadratic equations, how will the graph look like if the first coefficient is a negative number?
upside down U
500
Factor x^2+8x+16
(x+4)(x+4) or (x+4)^2
500

x^2+13x+19=0

-13+/- sqrt93 divided by 2

500

Parabolas are ____________ figures, because for every point, but the vertex, there is a counterpoint.

symmetric

500
This line divides the graph of a parabola in half.
Axis of Symmetry
500

Where does the parabola cross the x-axis for a "no solution" problem?

It doesn't.

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