Linear & Non-Linear Graphs

The x-axis

The y-axis

$y=-x+1$

$y=x+1$

$y=-x-1$

$y=x-1$

$y=-x$

-1

 $-\frac{1}{2}$  

0

 $\frac{1}{2}$  

1

 $\frac{4}{3}$  

3

4

 $-\frac{3}{4}$  

-3

$y=2x-8$

$y=-2x-6$

$y=-2x-4$

$y=-2x-8$

 $x=0$  

 $x=5$  

 $y=0$  

 $y=5$  

 $y=x$  

 $\left(1,-2\right),\ r=9$  

 $\left(1,-2\right),\ r=3$  

 $\left(-1,\ 2\right),\ r=9$  

 $\left(-1,\ 2\right),\ r=3$  

 $\left(1,-2\right),\ r=81$  

a maximum at (0, -4)

a minimum at (4, 0)

a maximum at (-4, 0)

a minimum at (0, -4)

a maximum at (0, 4)

$y=x^2-4$

$y=-\left(x-2\right)^2-4$

$y=\left(x+2\right)^2+4$

$y=-\left(x+2\right)^2$

$y=-x^2+2$

Good

Okay

Not so good

Really bad