Integration Question

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Hi I am stuck!

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What have you tried?

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Normally I get a point on the y axis, to find c, but here there just two points

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The key insight is that you need a system of n equations to solve for n variables. How many variables do you have?

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5?

x,y,a,b,c

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X and y aren't variables in this context.

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ahh ok 3

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So how many equations do we need?

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3

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And which equations were you saying you already had?

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17=2a+b

-5=a/2 x(1)^2 +b +c

8=a/2 x (2)^2 +b(2) +c

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Well. Three variables, three equations.

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I dont know where to go from here

do I substitute 17-2a=b into the other equations

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Yes.

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Ahh, I'm going to try that

Omg I got it, thank you!