anonymous
  • anonymous
Rewrite y = 3x2 - 24x + 10 in general form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
General Form You have already seen how to graph a quadratic function when it is in its standard form. Recall that the standard form of a quadratic function looks like: y=a(x-h)^2+k But how do you graph a quadratic function when it is in its general form? The general form of a quadratic function looks like this: y=ax^2+bx+c
Mertsj
  • Mertsj
http://www.wsd1.org/waec/math/Pre-Calculus%20Advanced/Quadratic%20Functions/General%20Form/genformintro.htm
Mertsj
  • Mertsj
So how does your author define general form?

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More answers

anonymous
  • anonymous
h=x, k=y... the problem I'm having with this one is splitting the 3 in 3x^2...?
anonymous
  • anonymous
Its just asking to rewrite it not graph it... heres what I have so far:
Mertsj
  • Mertsj
So you want h-k form?
anonymous
  • anonymous
-10 on both sides Y-10=3x^2-24x 24/2=12 12^2=144 Y-10=3x^2-24x+144
anonymous
  • anonymous
Its in standard form, I want general form(:
Mertsj
  • Mertsj
Let's write it like this: |dw:1362857059987:dw|
Mertsj
  • Mertsj
Now complete the square inside the parentheses
anonymous
  • anonymous
OH! gcf! of course!!:D
Mertsj
  • Mertsj
|dw:1362857161791:dw|
anonymous
  • anonymous
Thank you(: I forgot to look for a gcf
Mertsj
  • Mertsj
yw
anonymous
  • anonymous
Y-10=3x^2-24x+144 Now factor the GCF y-10=3(x^2-8x+48) y-10=3(x-4)(x+12) +10 to both sides Y=3(x-4)(x+12) +10 Right?
anonymous
  • anonymous
how did you get 16^^
anonymous
  • anonymous
Oh wait... I know
Mertsj
  • Mertsj
No. You cannot add 48 to one side without adding it to the other side. Did you see in my example that I added 16 inside the parentheses to complete the square? But I was really adding 48 to the right side because there is a 3 outside the parentheses. So then I subtracted 48 so there would be a net change of 0. Of course I could have added 48 to the left side which would have accomplished the same purpose.
Mertsj
  • Mertsj
16 is the number that completes the square for x^2+8x
anonymous
  • anonymous
1 sec..
anonymous
  • anonymous
Y-10=3x^2-24x GCF Y-10=3(x^2-8x) Complete the square 8/2=4 4^2=16 y-10=3(x^2-8x-16) Simplify y-10=3(x-4)^2 +10 to both sides y=3(x-4)^2 +10 Right?
anonymous
  • anonymous
and by simplify I mean find the binomial...(:
Mertsj
  • Mertsj
So let's multiply out your result: \[y=3(x-4)^2+10=3(x^2-8x+16)+10=3x^2-24x+48+10=\]
Mertsj
  • Mertsj
\[3x^2-24x+58\]
Mertsj
  • Mertsj
Is that the problem you started with?
Mertsj
  • Mertsj
If it isn't, then what you have done is changed the original problem instead of keeping the original problem and expressing it in another form.
anonymous
  • anonymous
What am I doing wrong?
Mertsj
  • Mertsj
When you add 48 to the right side, you then have 2 choices: 1. subtract 48 from the right side 2. Add 48 to the left side.
anonymous
  • anonymous
y-10=3x^2-24x y-10=3x^2-24x+48 +48 y+38=3x^2-24x+48
anonymous
  • anonymous
y+38=3(x^2-8x+16) y+38=3(x-4)^2 Right so far?
anonymous
  • anonymous
Ok I solved it out on paper(: thank you for helping me
Mertsj
  • Mertsj
yes
Mertsj
  • Mertsj
yw
anonymous
  • anonymous
24/2=12 12^2=144........
Mertsj
  • Mertsj
That is true. Not sure it is very useful.
anonymous
  • anonymous
y-10=3x^2-24x+144
anonymous
  • anonymous
k, never mind

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