10. Quadratic Equations and Functions

State the vertex, intercepts, and domain & range for each quadratic.

$y=-2x^2+11$

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.

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

State the vertex, axis of symmetry, and domain & range for each quadratic.

$y=-x^2-21$

Graph the following quadratics and state its vertex and intercepts.

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

Graph the following quadratics and state its vertex, intercepts and domain & range.

$f\left(x\right)=-\frac{3}{2}{x}^2-6x+6$

Graph the following quadratics and state its vertex, intercepts and domain & range.

$h\left(x\right)=\frac{1}{2}{x}^2+10x-5$

Determine if the parabola opens up or down.

$y=\frac{1}{2}{x}^2-5x$

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.

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

Which equation from choices $A-D$ matches the quadratic graph below.

Determine if the parabola opens up or down.

$y=-2x^2-6x-7$

State the vertex, intercepts, and domain & range for each quadratic.

$G\left(x\right)=3(x-6{)}^2$

Graph the following quadratics and state its vertex and intercepts.

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

Graph the following quadratics and state its vertex and intercepts.

$y=4x^2-8x+5$

State the vertex, axis of symmetry, and domain & range for each quadratic.

$f\left(x\right)={(x+\frac{1}{4})}^2+3$

Which graph from choices $A-D$ matches the quadratic equation below.

$h\left(x\right)=-(x-3{)}^2+2$