Answered

let h(x) = a(x+p)^2 - q, a,p,q >0. Consider the equation |h(x)| = 10.

a. For what values of a, p, and/or q does |h(x)| = 10 have exactly two solutions? Include a sketch to support your answer.

b. For what values of a, p, and/or q does |h(x)| = 10 have exactly three solutions? Include a sketch to support your answer.