12. Quadratic Equations and Functions

Graph the following quadratics and state its vertex and intercepts.

$y=x^2-2x-3$

Graph the following quadratics and state its vertex and intercepts.

$y=-3x^2+10x-3$

State whether the graph of $f\left(x\right)$ will be narrower or wider than $g\left(x\right)=x^2$ & if it opens up or down.

$f\left(x\right)=\frac{3}{2}{x}^2$