3.1 Writing Quadratic Equations

Vertex Form

Standard Form

Root Form

Vertex Form

Standard Form

Root Form

Vertex Form

Standard Form

Root Form

$y=\left(x-3\right)^2+4$

$y=-\frac{2}{25}\left(x+3\right)^2+4$

$y=-2\left(x-3\right)^2+4$

$y=-2\left(x+3\right)^2-4$

$y=\frac{3}{25}\left(x+2\right)^2-7$

$y=3\left(x-2\right)^2-7$

$y=3\left(x+2\right)^2-7$

$y=\left(x-2\right)^2-7$

$y=-\frac{1}{2}\left(x+2\right)\left(x+4\right)$

$y=-\frac{1}{2}\left(x-2\right)\left(x-4\right)$

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

$y=-\frac{1}{2}\left(x-2\right)\left(x-3\right)$

 $y=3\left(x-3\right)\left(x+1\right)$ 

 $y=\left(x+3\right)\left(x-1\right)$ 

 $y=\left(x-3\right)\left(x+1\right)$ 

 $y=3\left(x+3\right)\left(x-1\right)$ 

x = -6

x = -4

x = 2

x = 4

x = 6

$y=x^2+2x+3$

$y=2x^2+3x+1$

$y=3x^2+3x$

$y=3x^2+2x+3$

 $y=-0.25x^2+15x+2.25$ 

 $y=0.25x^2-1.5x+2.25$ 

 $y=-0.25x^2+1.5x-2.25$ 

 $y=-x^2+x-2$