Question

(a): FInd the coordinates of the vertex

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