Question

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

graph of a u-shaped figure opening upward with a minimum point of (negative 4, 0) and x intercepts (negative 2, 0) and (2, 0)

Not enough information

Non-factorable Trinomial

Perfect Square Trinomial

Difference of Two Squares http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v10/09_02_08.jpg

Answer 1

This is a parabola with vertex at (0,-4) and roots at x=-2 and x = 2.

Answer 2

Does that help?

Answer 3

ik it's not perfect square

Answer 4

The link doesn't work for me. But I take flvs too. This algebra right ?

Answer 5

Yea

Answer 6

y=(x-2)(x+2)=x^2-4

Is this a perfect square trinomial?

Answer 7

http://en.wikipedia.org/wiki/Perfect_square_trinomials#Perfect_square_trinomials

Answer 8

if x^2 - 4 had factors like (a - b)^2 or (a+b)^2 AND expanded to have 3 terms such as x^2 -2x + 4 or something like that, then we would have a perfect square trinomial

Answer 9

Please let me know if any of this makes no sense.

Answer 10

I think

Answer 11

You know it's not a perfect square because the factors are (x-2)(x+2) and not (x-2)^2 or (x+2)^2. Right?

Answer 12

Right the graph is either Non-factorable Trinomial or Difference of Two Squares

Answer 13

y=(x-2)(x+2)=x^2-4 shows us that it's the difference of two squares: x^2-4 = x^2 - 2^2. This is a difference of two squares, x^2 and 2^2.

Answer 14

A difference of two squares= like y = x2 – 49, has two solutions with opposite signs. I see now thx

Answer 15

yeah!! And 49 is 7^2