Question

How do you use the important points to sketch the graph of `f(x) = 1/3(x + 5)^2 - 1`?

Answer 1

See explanation

Explanation:

Set:`" "y=1/3(x+5)^2-1`

Compare the graph to the given equation.

Observe that
`" "x_("vertex")=(-1)xx5=-5`
`" "y_("vertex")= -1`

To find the `x_("intercepts")` set y=0
To find the `y_("intercepts")` set x=0

Mark the points on the axis then draw free hand the best curve you can that passes through these points. Do this remembering that the axis of symmetry is at `x_("vertex")`

Solve