1.9: A quadratic curve and a straight line

(a) Express

in the form $\displaystyle (x+a)^2+b$, where $\displaystyle a$ and $\displaystyle b$ are constants whose values are to be found.

(b) Use algebra to solve the simultaneous equations

Using the same axes and the results of parts (a) and (b),

(c) sketch the curve $\displaystyle y=x^2+4x-8$ and the line $\displaystyle y=2x+7$, showing clearly the coordinates of the turning point and the points of intersection.