$\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-21})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{23}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{23-(-21)}{-4-7}\implies \cfrac{23+21}{-11}\\\\\\ \cfrac{44}{-11}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-21)=-4(x-7)\implies y+21=-4(x-7)$

5 0

3 years ago

F(x) = x^2. What is g(x)?

marshall27 [118]

Answer:

g(x) = -x^2 - 4

Step-by-step explanation:

f(x) = x^2

To flip the graph, you need the negative of the right side,

y = -x^2

This is a parabola that opens downward, but the vertex is at (0, 0).

Now you need to translate the graph 4 units down, so subtract 4 from -x^2.

g(x) = -x^2 - 4

6 0

3 years ago