Solving Quadratics ~ Factoring, Sq Rts and QF

Factoring

100

x^2-10x+21=0

x={3,7}

200

9x^2-25=0

x={-5/3,5/3}

300

3x^2-13x-30=0

x={-5/3,6}

400

3x^2=81-x^2

x={-9/2,9/2}

500

2x^2=x+21

x={-3,7/2}

Square Roots

100

5x^2-11=234

x=+-7

200

When is it best to use the square root method for solving quadratics?

When there is no 'b' term.

300

x^2-1=39

x=+-2sqrt10

400

4x^2-39=10

x=+-7/2

500

-2x^2-196=0

x=+-7isqrt2

Graphing Characteristics

100

What is the dashed line that goes through the vertex called?

Axis of Symmetry (AOS)

200

The domain of a quadratic is ALWAYS?

All real numbers or (-infinity, infinity)

300

What quadratic characteristic helps you determine the RANGE?

The y-value of the vertex.

400

If a graph opens down, what transformation must be occuring?

Reflection over the x-axis

500

2(x+4)^2 - 6

Vertical stretch, left 4, and down 6

Quadratic Formula

100

When can you use this method to solve a quadratic equation?

ALWAYS 

200

-2x^2-x+15=0

x={-3,5/2}

300

x^2-9=4x

x={2+-sqrt13}

400

-3x^2+8x-7=0

x={(4+-isqrt5)/3}

500

3x^2+3x+7=0

x={(-3+-5isqrt3)/6}