anonymous
  • anonymous
What is the equation, in standard form, of a parabola that models the values in the tables x: -2,0,4 f(x): 1,5,-59
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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triciaal
  • triciaal
|dw:1444365550534:dw|
triciaal
  • triciaal
suggest substitute the values for (x,y) and solve the simultaneous equations to get a,b,c
anonymous
  • anonymous
Can you explain how to do this

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triciaal
  • triciaal
substitute means replace now read my response again.
anonymous
  • anonymous
I understand that but once i replace 1=a(-2)^2+b(-2)+c what do i do from there
triciaal
  • triciaal
for each set
triciaal
  • triciaal
do you know how to solve simultaneous equations? there are about 4 methods
anonymous
  • anonymous
no i dont
triciaal
  • triciaal
ok I will work with you what are the 3 equations?
triciaal
  • triciaal
this is even simplier than i thought do you see C = 5?
anonymous
  • anonymous
i guess
triciaal
  • triciaal
no! if you have questions make sure you ask. it is very important for you to understand.
triciaal
  • triciaal
what are the equations when you substitute the x and y values given?
anonymous
  • anonymous
doesnt f(x) mean y?
triciaal
  • triciaal
yes
triciaal
  • triciaal
function of x
anonymous
  • anonymous
so you make 3 equations and plug 1 x in for each?
triciaal
  • triciaal
|dw:1444366987783:dw|
triciaal
  • triciaal
y = f(x) = ax^2 + bx + c
triciaal
  • triciaal
you did the first one correctly when x = -2 do the same process when x = 0 and again when x - 4
anonymous
  • anonymous
ok so what do i do now that i have the 3 equations
triciaal
  • triciaal
show what you have did you get C = 5?
anonymous
  • anonymous
i dont understand how u got c=5
triciaal
  • triciaal
did you do the substitutions?
anonymous
  • anonymous
yes i got 5=a(0)^2+b(0)+c
triciaal
  • triciaal
|dw:1444367515071:dw|
triciaal
  • triciaal
remember zero times anything is zero
triciaal
  • triciaal
show the 3rd one.
anonymous
  • anonymous
-59=a(4)^2+b(4)+c
triciaal
  • triciaal
and we can replace C with 5
triciaal
  • triciaal
also for the first one C = 5
triciaal
  • triciaal
|dw:1444367836458:dw|
triciaal
  • triciaal
|dw:1444368031994:dw|
anonymous
  • anonymous
what happened to -59?
triciaal
  • triciaal
|dw:1444368144737:dw|
triciaal
  • triciaal
|dw:1444368245388:dw|
triciaal
  • triciaal
when you have an equation whatever you do to one side also do to the other to maintain the balance . always group like terms to simplify
triciaal
  • triciaal
always factor when you can to use smaller numbers .
triciaal
  • triciaal
by the way notice we had equations with 3 unknown we are using substitution to solve. we had the value for c and substituted in the others. we found the expressions for b and set them equal. this gave the linear equation (one unknown) and we solve for a.
triciaal
  • triciaal
now that we have a,b and c we can write the general equation for f(x)
triciaal
  • triciaal
please review and ask any questions if you need to clear anything up. I am short on time but you need to be able to do the problem on your own.
anonymous
  • anonymous
i think i got it from here thank you
triciaal
  • triciaal
yeah we are at the end you only have to write the equation.
triciaal
  • triciaal
my question is do you clearly understand all what I did?
anonymous
  • anonymous
Yes i do
triciaal
  • triciaal
great!! review and keep practicing math is very easy with practice.

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