Question

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

Answer 1

The function is:

`y=-(1)/(6)x^2+5`

Now we can derivate to find the vertex so:

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

for -1:

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

so the graph is: