Category: Resources (Page 2 of 10)

Today’s quiz consisted of several questions centered around finding the area between two curves: $y=x^2+2x-8$ and $y=4-x^2$. The first question asked for the points of intersection for the two curves. By substitution, we arrive at $x^2+2x-8=4-x^2$ which has solutions $x=-3$ and $x=2$. In order to find the points of intersection, we need both $x$ and $y$-coordinates, so for each $x$ we find the corresponding $y$. Note that our two $x$-values are intersections of the two curves, so both equations should give us the same $y$-value when we plug in the same $x$-value.