Quadratics :)

Solving/Factoring

100

x^2 +5x -14 =0

-7, 2

200

x^2-5x+6=0

2,3

300

6x^2-11x+3=0

1/3, 3/2

400

3x^2-20x-7=0

-1/3,7

500

Factor x^2+8x+16

(x+4)(x+4) or (x+4)^2

Quadratic Formula

100

5x^2+8x-4=0

2/5, -2

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.)

300

5x^2-9x-5=0

(Please round answers to the nearest tenth.)

2.2, -.4

400

3x^2+11x+9=0

-11+/_ sqrt13 divided by 6

500

x^2+13x+19=0

-13+/- sqrt93 divided by 2

Graphing

100

What chart do we use when graphing equations?

Data Table

200

What is the name of the graph for quadratic equations?

A parabola

300

What is the shape of a parabola?

A "u" shape

400

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

It flips.

500

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

symmetric

Vocabulary

100

What is the name of the point where the values of y start to repeat?

The vertex point

200

Each graph of a quadratic equation always has what?

Vertex, Axis of Symmetry, U shape, etc.

300

What tells us the number of solutions for x when using the quadratic formula?

The discriminant

400

Which axis does the axis of symmetry go through?

The x-axis

500

This line divides the graph of a parabola in half.

Axis of Symmetry

Random

100

Factor x^2-25

(x+5)(x-5)

200

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

Real

300

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

When b^2-4ac is less than 0

400

When graphing quadratic equations, how will the graph look like if the first coefficient is a negative number?

upside down U

500

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

It doesn't.