91Ó°ÊÓ

In the following exercises,

(a) write the equation in standard form and

(b) graph.

$4y^2-16x^2+32x-8y-76=0$

In the following exercises,

(a) write the equation in standard form and

(b) graph.

$36y^2-16x^2-96x+216y-396=0$

In the following exercises, evaluate.

a.$\left(\begin{array}{l}7\\ 1\end{array}\right)$

b.$\left(\begin{array}{l}5\\ 5\end{array}\right)$

c.$\left(\begin{array}{l}9\\ 0\end{array}\right)$

d.$\left(\begin{array}{l}9\\ 5\end{array}\right)$

In the following exercises, graph each function using transformations.

$f\left(x\right)={(x+2)}^2+1$.

In the following exercises, identify the type of graph.

$$\begin{gathered} \left(a\right)16y^2-9x^2-36x-96y-36=0 \\ \left(b\right)x^2+y^2-4x+10y-7=0 \\ \left(c\right)y=x^2-2x+3 \\ \left(d\right)25x^2+9y^2=225 \end{gathered}$$

In the following exercises, (a) find the centre and radius, then (b) graph each circle.

${(x-4)}^2+{(y+2)}^2=16$

Multiply the rational expressions$\frac{5x^2{y}^4}{12x{y}^3}×\frac{6x^2}{20y^2}$

In the following exercises, identify the type of graph.

$$\begin{gathered} \left(a\right)x^2+y^2+4x-10y+25=0 \\ \left(b\right)y^2-x^2-4y+2x-6=0 \\ \left(c\right)x=-y^2-2y+3 \\ \left(d\right)16x^2+9y^2=144 \end{gathered}$$

Solve quadratic equations by factoring.

$3y^3+48y=24y^2$

In the following exercises, solve the system of equations by using graphing.

$$\begin{gathered} 3x^2-y=0 \\ y=2x-1 \end{gathered}$$