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anonymous
 3 years ago
What is the equation, in standard form, of a parabola that models the values in the table?
x= 2, 0, 4
f(x)= 0, 6, 78
anonymous
 3 years ago
What is the equation, in standard form, of a parabola that models the values in the table? x= 2, 0, 4 f(x)= 0, 6, 78

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f(x) is the same meaning as y.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes and it is called function of x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I think you start out f(2)=4a+(2b)+3=0 f(0)=ax^2+bx+c=6 c=6 f(4)=16a+4b+3=78

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, sortof. You'll need to solve a system of two linear equations.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You also have x and yintercepts, which makes it much easier.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Start with the standard form template: f(x)=ax^2+bx+c Then put in your known values: f(2) = a(2)^2+b(2)+c = 0 f(0) = a(0)^2+b(0)+c = 6 f(4) = a(4)^2+b(4)+c = 78 From the second equation, you can see that c = 6, so you can substitute that back in the other two.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You have the right idea, just be careful about how you write the equations.
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