Answer
$2.25$
Work Step by Step
Line: $y = x + 2$
Parabola $y = x^2$
Since y is already solved for, plug it into the line formula:
$x^2 = x + 2$
Set it equal to 0:
$0 = -x^2 + x + 2$
Take the derivative:
$= -2x + 1$
Solve for x:
$x = 1/2$
Plug x back in:
$0 = -x^2 + x + 2-(1/2)^2 + (1/2) + 2= 2.25$