What are the coordinates of the vertex of the parabola represented by the equation \( y=-3 x^{2}+18 x-24 \) ? \( (6,-24) \) \( (4,0) \) \( (3,3) \) \( (2,0) \) \( (-3,-105) \)

ep 2: Rewrite each term as the product of the GCF and the remaining factor. \[ 54 x y^{6}-36 x^{2} y^{8}+63 x^{7} y^{10} \]

Use synthetic division to find the result when \( x^{3}+x^{2}+2 x+9 \) is divided by \( x+2 \). If there is a remainder, express the result in the form \( q(x)+\frac{r(x)}{b(x)} \).

Use the following information to answer numerical response question 7 . As a result of the transformation of the graph of \( y=f(x) \) into the graph of \( -\frac{1}{9}(y-4)=f\left[\frac{1}{2} x+4\right] \), point \( (7,-2) \) becomes point \( (p, q) \). Numerical Response The values of \( p \) and \( q \) are and

Part \( \mathbf{B} \) b. If the animator changes the equation to \( f(x)=-0.2 x^{2}+20 \), what are the solutions of \( f(x)=0 \) ? List the solutions from least to greatest.

Simplify the expression. Write the answer without using negative exponents. All variables represent positive real numbers. \[ \left(\mathrm{mn}^{-2 / 3}\right)^{-3 / 5} \]