Question

How do I convert f(x) = x^2+6x-16 into general standard form?

Answer 1

Hi there, Welcome to OpenStudy! What is the general standard form for an equation?

Answer 2

ax+bx=c I think

Answer 3

For a quadratic equation, it would be:

\(\sf f(x) = a(x - h)^2 + k\), where a \(\neq\) 0

Answer 4

The vertex of the function is (h, k).

Answer 5

Oh okay. So I have to find the vertex first using -b/2a

Answer 6

And that is for the equation:
\(\sf f(x) = ax^2 + bx + c\)

Answer 7

Yes, we can find the vertex like that :)

Answer 8

Okay thank you so much!

Answer 9

And to make sure, you can graph what you were given originally and what you came up with at the end. And make sure that they are the same graph. :)

Answer 10

You can use
http://www.desmos.com/calculator

Answer 11

Okay thank you

Answer 12

The answer I get for the vertix is that h?

Answer 13

correct, and then you plug that back in to what we were originally given and calculate for k.

Answer 14

Okay thanks again :)

Answer 15

anytime :)

Answer 16

oh and, @torvia @~


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