I need help graphing this question, f(x)=(1)/(18)(x+5)^2-11

Question

I need help graphing this question,


`f(x)=(1)/(18)(x+5)^2-11`

Answer 1

The graph is attached

• First identify the leading coefficient. It is positive in our case, it means the graph opens up

• Plot vertex,
• f(x) = a(x - h)² + k

• Vertex is (h, k), in our case it is (-5, -11)

• Find x and y-intercepts and plot

• To find x- intercepts find x when y = 0

• To find the y-intercept find y when x = 0

Once all points are plotted, connect them and extend up (see attached)