Suppose that \( G(x)=\log _{4}(2 x-2)-3 \). (a) What is the domain of G ? (b) What is \( \mathrm{G}(129) \) ? What point is on the graph of G ? (c) If \( \mathrm{G}(\mathrm{x})=2 \), what is x ? What point is on the graph of G ? (d) What is the zero of G ? (a) The domain of G is

determine whether the given quadratic function has a maximum or a minimum value and then find the value. \( y=-x^{2}+6 x-5 \) \( \begin{array}{lll}\text { [A] minimum, } 3 & \text { [B] minimum, } 4 & \text { [C] maximum, } 4\end{array} \quad \) [D] maximum, 3 A \( \begin{array}{ll}\text { B }\end{array} \) \( \begin{array}{l}\text { C }\end{array} \)

What function is the reflection of \( f(x)=|x+2| \) about the \( x \)-axis? \( g(x)=|x-2| \) Non of the other options \( g(x)=|-x+2| \) \( g(x)=-|x-2| \)

Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles, how many total miles did they drive?

Write the expression as a sum and/or difference of logarithms. Express powers as factors. \[ \log _{2}\left(\frac{x^{10}}{x-8}\right), x>8 \] \( \log _{2}\left(\frac{x^{10}}{x-8}\right)=\square \) (Simplify your answer.)

Simplify \( \frac{8}{\sqrt{6}+2} \)