Question

Sketch the graph of the function. identify the vertex and axis of symmetry. Y=-1/6x²+5

Answer 1

The function is:

$y=-\frac{1}{6}x^2+5$

Now we can derivate to find the vertex so:

$\begin{gathered} -\frac{2}{6}x=0 \\ x=-3 \end{gathered}$

so the veryex is in -3

now we can operate in -2 and -1 so:

$\begin{gathered} y=-\frac{1}{6}(-2)+5 \\ y=\frac{1}{3}+5 \\ y=5.33 \end{gathered}$

for -1:

$\begin{gathered} y=-\frac{1}{6}(-1)+5 \\ y=5.16 \end{gathered}$

so the graph is: