Quadratics Review

Axis and Vertex

100

Find the axis of symmetry for

x^2-14x+45

x=7

200

Find the vertex for

x^2-14x+45

(7,-4)

300

Find the axis of symmetry for

4x^2+72x-18

x=-9

400

Find the vertex for

2x^2+20x-10

(-5,-60)

500

Find the vertex for

-3x^2+30x+125

(5,200)

How many solutions are there?

100

x^2=144

x= 12,-12

200

x^2-8=56

x=8,-8

300

(x-5)^2=49

x=12,-2

400

3x^2-21x+36=0

x=3,4

500

4x^2-16x-84=0

x=7,-3

Complete the Square

100

x^2+6x-7=0

x=1,-7

200

x^2-10x+16=0

x=8,2

300

x^2-2x-63=0

x=9,-7

400

x^2-14x+24=0

x=2,12

500

x^2+8x-33=0

x=-11,3

Graph Facts

100

What is the domain for every quadratic?

All Real Numbers

200

When the vertex is the lowest point it's known as the what?

Minimum

300

When the vertex is the highest point it's known as the what?

Maximum

400

How do you know what direction the graph is going?

Based on the sign of the x² term

500

A point that directly touches the x-axis is also known as what?

Zeros