I have the easiest problem ever...and yet I just can't solve it. It furstrates me to the point of wanting to punch the wall, because the problem itself looks so darn easy! It's a homework problem, and I've already done 20 or so problems that are much, much harder. And yet this one problem confounds me to the point of tears. Any help?
Find a function y = ax^2 + bx + c whose graph has an x-intercept of 1, a y-intercept of -2, and a tangent line with a slope of -1 at the y intercept.
My work so far:
At (0, -2), Y' = -X + 2
Thus, Y - -0.5X^2 + 2X + C
And C = -2 (Can be figured out from y-intercept)
But the equation I get isn't right...help