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Mathematics 21 Online
OpenStudy (anonymous):

Question 1 (Multiple Choice Worth 1 points) What type of quadratic equation is represented in the graph below?

OpenStudy (anonymous):

Non-factorable Trinomial Difference of Two Squares Perfect Square Trinomial Not enough information

OpenStudy (anonymous):

y=(x-2)^2

OpenStudy (debbieg):

Each REAL root corresponds to an x-intercept. And, a quadratic can have either two real roots, one (repeated) real root, or two complex roots.

OpenStudy (anonymous):

will it be this Perfect Square Trinomial

OpenStudy (debbieg):

Right. Because a perfect square trinomial has a single, repeated root.

OpenStudy (anonymous):

such that my equation shows

OpenStudy (debbieg):

It is of the form: \(y=(x \pm c)^2\)

OpenStudy (anonymous):

like the equation i stated above

OpenStudy (anonymous):

ok

OpenStudy (debbieg):

Yes, per the equation that @hothand621 gave you. But I think it's more important to understand WHY the types of roots relate to the equation the way they do. That's what the problem is trying to teach.

OpenStudy (debbieg):

The problem didn't ask for the equation, after all. It asked how the graph relates to the type of quadratic that it is. :)

OpenStudy (anonymous):

ok scrub

OpenStudy (anonymous):

but the equation proves the answer

OpenStudy (debbieg):

Agreed.

OpenStudy (anonymous):

medal me please?

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