Question

Convert to vertex form.

f(x)=x^2+8x+13

Answer 1

y=2(x-2)2+21

Answer 2

The 3rd 2 is supposed to be to the second

Answer 3

Vertex form is written in \(y=a(x-h)+k\) In which the vertex is (h,k)

Answer 4

Nvm XD i suck at this

Answer 5

To find the vertex use the equation
\(\large x=\frac{-b}{2a}\)

Answer 6

I wouldnt know. Im in geometry lol

Answer 7

So it'd be \[\frac{ -8 }{ 2 }\]
Which is -4

Answer 8

Yes so that is the x value, now substitute that into the original equation to find y
\(y=(-4)^2+8(-4)+13\)

Answer 9

Okay so that would be y = -3?

Answer 10

Right that is the vertex (-4,-3)=> (h,k)
So now we just substitute that into \(y=a(x-h)+k\)
=>\(y=(x-(-4))-3\) or \(\boxed{y=(x+4)^2-3}\)

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @dude
Vertex form is written in \(y=a(x-h)+k\) In which the vertex is (h,k)
\(\color{#0cbb34}{\text{End of Quote}}\)

Correction : \(y=a(x-h)\color{red}{^2}+k\)

Answer 12

Thank ye kind sir.