Question

(a): FInd the coordinates of the vertex
(b): Find the intercept(s). For both the x- and y-intercepts, make sure to do the following:
-If there is more than one, seperate them with commas.
-If there are none, write "None"

x-intercept(s): __
y-intercept(s):__

(c): Find the equation of the axis of symmetry
Equation of axis of symmetry: ___

Answer 1

A. The vertex of a curve is where the curve is at its highest or lowest, depending on whether the line opens up or down. Since this is a curve that opens up, the vertex is where the curve is at its highest. In this case, the vertex is (-3,-1).

B. The x-intercepts are the points on the graph where the curve crosses the x-axis, while the y-intercepts are the points on the graph where the curve crosses the y-axis. In this case, the x-intercepts are (-4,0) and (-2,0) and the y-intercept is (0,8).

C. The axis of symmetry is the vertical line that splits the curve evenly. In this case, the axis of symmetry is x = -3