Question

Convert the function into standard form. Show your work. y=2(x-4)(x+3)

Answer 1

first foil the (x-4)(x+3) part
then distribute the 2
then simplify...

Answer 2

and when you are done, tell your math teachers (gently) that
\[y=2(x-4)(x+3)\] is an EQUATION, not a function

Answer 3

If you replace y with f(x), such as f(x)=2(x-4)(x+3) then I believe will make it a function.

Answer 4

i suppose so, or you could write
\[f:=\{(x,y)|y=2x^2-2x-24\}\] or something, but if it is supposed to be a function you have to at least write it as one

Answer 5

f(x)=2(x-4)(x+3) so thats the function

Answer 6

first foil the (x-4)(x+3) part
then distribute the 2
then simplify...

Answer 7

so whats the function?

Answer 8

foil (x-4)(x+3)
so you get 2(x^2 - 4x + 3x - 12)
then distribute the 2
then add like terms to simplify
(It would be against this site's code of conduct to give the actual answers...)

Answer 9

I don't get it :/

Answer 10

Can someone explain how to do this

Answer 11

lets see y = 2 (x-4 )(x+3 )
y= 2 ( x (x+3 ) -4 (x+3 )
y= 2 ( x pow (2) + 3x - 4x -12 )
y = 2 ( x pow (2) -x -12 )
y = 2x pow (2) -2x -24

Answer 12

y = 2(x-4)(x+3)
y = 2(x^2 - 4x + 3x - 12)
y = 2( x^2 - x - 12)
y = 2x² - 2x - 24

All that comes from above.

This is what is left to do: Convert the function into standard form.

Look in your text to determine how standard form form of a quadratic equation is defined.

Some texts use standard form and vertex form to mean the same. Others do not.

Answer 13

@ directrix can u help me how u gave power above x to be done here ?

Answer 14

@vinurules I copied and pasted the 2 onto the x to get x².

You can copy this and save it for your use. ²

Many people here use LaTex for math symbols.

There is a section on how to use that here:
http://openstudy.com/study#/groups/LaTeX%20Practicing!%20%3A)

Answer 15

y = 2(x-4)(x+3)
y = 2(x^2 - 4x + 3x - 12)
y = 2( x^2 - x - 12)
y = 2x² - 2x - 24
All that comes from above.
This is what is left to do:

Convert the function into standard form.

See attachment.

Answer 16

^^ That is also the vertex form for the equation of a parabola where (h,k) is the vertex of the parabola;n a ≠ 0.

@ShantelT1

Answer 17

For reference, attached is the standard form of a quadratic equation in standard form.

Answer 18

So this is the function?

Answer 19

The line in you posted question is this: Convert the function into standard form.

So, I assume that the task is to write the given function in the form as described in the attachment below.

Answer 20

That means there is more work to do.

Answer 21

F(X)a(x-h)^2

Answer 22

thats what i ment

Answer 23

y = 2(x-4)(x+3)

y = 2(x^2 - 4x + 3x - 12)

y = 2( x^2 - x - 12)

Complete the square:

y = 2 ( x ^2 - x + 1/4) - 24 - 1/2

and continue.

Answer 24

directrix did a great job explaining