Question

Part 1:
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.

0 = x2 + 5x + 6
0 = x2 + 4x + 4
Part 2:
Using complete sentences, answer the following questions about the two quadratic equations above.
Do the two quadratic equations have anything in common? If so, what?
What makes y = x2 + 4x + 4 different from y = x2 + 5x + 6?

Answer 1

(x +3)(x+2) = 0 then x = -2, -3 trinomial with unequal roots

(x + 2)^2 = 0 then x = -2 perfect square with a repeated root


The parabolas are both concave up and have a root or zero at x = -2

the perfect square on touches the x-axis once at = -2 while the trinomial cuts the x-axis at x = -3 and x = -2

Answer 2

is that the answer for part1 and part 2?

Answer 3

the top is the solutions to solving the equations.

the bottom... what do they have in common