Quadractics 101

Vocab

100

The highest/ lowest point on a graph.

Vertex

200

"U"-shaped graph

Parabola

300

The line that goes through the middle of the parabola

axis of symmetry

400

What is "A" in this equation 21x²-3x+17

21

500

What is "C"+"A" in this equation -47x²+2x+92

45

Random

100

Zeros are a solution to what?

Quadratics

200

What is x-intercepts?

Where the points cross the x-intercept of a parabola

300

What is this form ax²+bx+c

Standard form

400

What are the solution to f(x)=x²-81

x=-9 x=9

500

What is the domain of a quadractic function?

All real numbers (all x-values)

Solve

100

x²+15x+50=0

x=-5 x=-10

200

6w²-w-5=0

w=-5/6 w=1

300

x⁴-2x³-3x²=0

x=0 x=3 x=-1

400

x²+x-30=0

x=-6 x=5

500

-x²+6x+18=0 Round to the nearest tenth

x=-2.2  x=8.2

Factor

100

x²-144=0

(x-12)(x+12)

200

m²+m-90

(m-9)(m+10)

300

6x²-x=2

(3x-2)(2x+1)

400

8x²+3=10x

(4x-3)(2x-1)

500

b²+16b+64

(x+8)²

Vertex

100

Find the vertex of 13(x-18)²-3

(18,-3)

200

Find the vertex of (x+14)²-23

(-14,-23)

300

Find the vertex of 3x²+30x+1

(-5,-74)

400

Find the vertex of 4x²+7x+210. Round to the nearest whole number

(-1,207)

500

Find the vertex of -6x²-19x+321 Round to the nearest hundreth

(-1.58,336.04)