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.

y = x2 + 3x + 2
y = x2 + 2x + 1
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 + 3x + 2 different from y = x2 + 2x + 1?

Answer 1

i dont understand

Answer 2

me neither, although both are easy enough to solve

Answer 3

lol ok ill try factoring

Answer 4

\(y = x^2 + 2x + 1=(x+1)^2\) so as a perfect square it has the vertex on the \(x\) axis at \((-1,0)\)

Answer 5

\(y = x^2 + 3x + 2=(x+1)(x+2)\) and so it crosses the \(x\) axis at \((-1,0)\) and \((-2,0)\)
not sure what you are supposed to say about what they have in common, they are both parabolas that open up

Answer 6

ok thank youu so much

Answer 7

yw