2/9 - Factoring using Desmos

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

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

$$f\left(x\right)=\left(x+1\right)^2+4$$

$$f\left(x\right)=\left(x-1\right)^2+4$$

$$12\left(x-2\right)^2$$  

$$-12\left(x^2+4x+4\right)$$  

$$12\left(x-4\right)\left(x-1\right)$$  

$$-12\left(x+2\right)^2$$  

$$12\left(x^2-4x+4\right)$$

$$\left(x+2\right)\left(x+5\right)$$  

$$\left(x-2\right)\left(x-5\right)$$  

$$\left(x+10\right)\left(x+1\right)$$

$$\left(x+2\right)\left(x-5\right)$$  

axis of symmetry

vertex

zero

roots

solutions

The blue line

The green line

The purple line

The black line

$$5x+4$$

$$3x-2$$

$$5x-4$$

$$3x-4$$

$$10x-3$$

$$10x-1$$

$$5x-3$$

$$5x-2$$