The graph of the function

f(x) = ax^2 +xa + c passes through the point (-2,9) and (2,13). Find the values of a and c.
Show working out thanks.

Question

The graph of the function
        
            f(x) = ax^2 +xa + c passes through the point (-2,9) and (2,13). Find the values of a and c.
Show working out thanks.

anonymous · Answer

it passes through the points (-2,9) and (2,13)$$f(-2) = 9$$$$f(2) = 13$$and then solve for a and c

hero · Answer

If you substitute the given values of (x, f(x)) into the given equation and create two systems, you'd be able to find a and c

hero · Answer

Well create two equations in one system.

anonymous · Answer

$$f(-2) = 9$$$$a(-2)^2 + a(-2) + c = 9$$$$2a + c = 9$$$$f(2) = 13$$$$a(2)^2 + a(2) + c = 13$$$$6a + c = 13$$

experimentx · Answer

Oo.. it thought the second coff was b

hero · Answer

It happens. I used to get caught by stuff like that myself.

hero · Answer

I almost made that same mistake when I first looked at it.

experimentx · Answer

I make lots of observational error ... I don't know why.

hero · Answer

I as well. You just have to plow through it and train your eyes.

experimentx · Answer

i guess so..