What is the difference between standard form, vertex form, factored

Octavio Miller

Octavio Miller

Answered question

2022-01-30

What is the difference between standard form, vertex form, factored form?

Answer & Explanation

ocretz56

ocretz56

Beginner2022-01-31Added 16 answers

Standard form:
y=ax2+bx+c
for some constants a,b,c
Vertex form:
y=m(xa)2+b
for some constants m,a,b
(the vertex is at (a,b))
Factored form:
y=(ax+b)(cx+d)
or possibly
y=m(ax+b)(cx+d)
for some constants a,b,c,d (and m)
votaren10

votaren10

Beginner2022-02-01Added 11 answers

Standard form is ax2+bx+c. Vertex form is a(xh)2+k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

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