Question

What type of quadratic equation is represented in the graph below?

Image Link:https://www.connexus.com/content/media/527934-762011-81651-AM-738123731.png

A. Non-factorable Trinomial
B. Difference of Two Squares
C. Perfect Square Trinomial
D. Not enough information

Im almost positive this is C as well? Is that right?

Answer 1

C. perfect square trinomial ... i suppose

Answer 2

it has only one root ... and this is the case that arise only when there's a perfect square

Answer 3

sorry lost connection there for a sec

Answer 4

that's what I was thinking... Thanks! but I do have another question, but it's kind of long? Do you think you could help me out? I just need someone to check it for me?

Answer 5

Here it is...

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?

My Answer:
Part 1
x^2 + 5x + 6 = 0
this can be factorised as
x^2 + 2x + 3x + 6 = 0
x(x+2) + 3 ( x + 2) = 0
(x+2) * ( x + 3 ) = 0
x = -2 or -3

For x^2 + 4x + 4,
it is factorised as
x^2 + 2x + 2x + 4 =0
this simplifies to
(x+ 2) * (x+2) =0
or (x+2)^2 =0
in both cases, x = -2

Part 2:
These to two equation differ by the fact that the second equation is touching the x-axis when graphing, and the first equation is goes through the x - axis which gives it to x - intercepts.

Does this sound okay? or should I be more specific?

Answer 6

first part is correct.

second part is quite missing something ... they have common root.
common root means they are intersecting at the point of common root.

Answer 7

ohh, right... okay ill put that in there. thanks :) so now i this is what I put:

These to two equation differ by the fact they have a common root. Therefore, they are intersecting at the point of common root. Also, the second equation is touching the x-axis when graphing, and the first equation is goes through the x - axis which gives it to x - intercepts.

is that better?

Sorry for the late reply, lost connection again. :/