Tatyana P.
asked 09/11/20Write the quadratic in standard form
Write the quadratic function in standard form.
g(x) = x2 + 8x + 16
2 Answers By Expert Tutors

Tracy D. answered 09/11/20
Upbeat, patient Math Tutor investing in students to succeed
First they are asking if you know what "standard form" for quadratic equations is. It is
So given g(x) = x2 + 8x + 16, you will note you will need to complete the square to get it into the standard form.
- to complete the square, you take 1/2 the value of "B" (Ax2 +Bx + C) and square it.
- (x+4)2 +16
- Then you will need to "undo" the effect of the last term multiplied by itself (so you will need to "undo" or negate, (4)(4), to negate subtract 16
- (x+4)2 +16 - 16 (by the way, it is purely coincidence that the +16 in the original equation given is the same number that you will need to "undo" the last term effect in completing the square.)
- So... g(x) = (x+4)2 is your answer. Or g(x) = 1(x+4)2 + 0 (same thing)
Nazlee R. answered 09/11/20
Knowledgeable, Tenacious, and Patient Tutor in Columbia
My answer is the expression is a perfect square. So we can write it as (x+4)^2.
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Alex E.
I tend to call the form it’s currently in standard form. Could you give a generic equation of what the question is calling standard form. Maybe its looking for what I call vertex form. I.e. f(x) = a(x-h)^2 +k where (h,k) defines the vertex of the parabola and a is a scaling factor that “stretches” or “shrinks” the parabola. Anyway if you can write out how your problem/text defines standard form as I did here for what I call vertex form I’ll be able to help you out.09/11/20