Question

Convert an equation from vertex form to Standard form??
f(x)= 2(x -11)^2 + 13

Answer 1

@jim_thompson5910 @zepdrix @uri @Zarkon @ganeshie8 @radar @anonymous_user @triciaal

Answer 2

are you able to expand out (x -11)^2 ?

Answer 3

I'm not sure what that means. so far I've got:
f(x)= 2(x -11)^2 + 13

\[(x - 11) (x - 11) \]
\[x^2 - 11x -11x + 121\]

Answer 4

-11x-11x turns into -22x

Answer 5

so (x -11)^2 = x^2 - 22x + 121

Answer 6

\[\Large f(x)= 2(x -11)^2 + 13\]

\[\Large f(x)= 2(x^2 - 22x + 121) + 13\]

Answer 7

what's next?

Answer 8

Distribute the 2?

Answer 9

yep

\[\Large f(x)= 2(x^2 - 22x + 121) + 13\]

\[\Large f(x)= 2x^2 - 44x + 242 + 13\]

Answer 10

then what?

Answer 11

combine like terms.

Answer 12

right? @jim_thompson5910

Answer 13

correct

Answer 14

giving you what final answer?

Answer 15

\[f(x) = 2x^2 - 44x + 255 \]

Answer 16

@jim_thompson5910

Answer 17

correct