Linear,Exponential,Quadratic Functions

Quadratic Problems

100

x² -2x -15 = 0

x=-3

x=5

200

x² - 49 = 0

x=7

x=-7

300

x² + 3x -28 = 0

x=-4

x=7

400

3x² - 75 = 0

x=-5

x=5

500

8x² + 2x -15 = 0 

x=4/

Linear equations

100

Y=50x+10

50

200

Y=150x-30

150

300

Y=15x+7

15

400

Y=90x+10

90

500

Y=272x+34

272

Exponential functions

100

Y=3(1.26)^x

growth 26%

200

Y=4.3^x

growth 200%

300

y=2(5/2)^x

growth 150%

400

Y=(1/2)^x

1.5 decay

500

Y=3(5/2)^x

500% growth

Characteristics

100

y-Intercept

The value crosses the y-axis

200

Slope

The rate of change of a linear equation

300

vertex

the point of intersection of the parabola and the axis of symmetry.

400

Max/Min

Highest/lowest points on graph

500

Asymptote

a straight line that constantly approaches a given curve but does not meet at any infinite distance.

Formulas

100

Linear

Y=Mx+b

200

Quadratic

-b+-/b² -4ac/2a

300

Exponential

f(x)=a(1+r)^x

400

Vertex

y=a(x-h)²

500

Standard

ax² + bx + c