Question

Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.

y = x^2 + 3x + 2
y = x^2 + 2x + 1

Answer 1

Factor, Factor...

Answer 2

y=(x+3/2)^2 -1/4
or (y+1/4)= (x+3/2)^2 parabola
again y = x^2 + 2x + 1
or y=(x+1)^2 again parabola
for solution we have x^2 + 3x + 2 =x^2 + 2x + 1
or x=-1 and y =0
hence the two parabolas intersect at (-1,0)