Question: (20 points)

(a) find the solution of the given equation by factoring (if necessary) and the Reduction Tool

x² + x - 30 = 0

(b) Determine the vertex of the parabola y = x² + x – 30. Hint, use the vertex formula

(c) Sketch the graph of y = x² + x – 30 using the information you found in parts a and b.