Answer
False
Work Step by Step
False.
Find the slope of the tangent line to the parabola at $x=-2$:
$m=\frac{dy}{dx}|_{x=-2}$
$m=2x|_{x=-2}$
$m=2\cdot (-2)$
$m=-4$
Write the equation of the tangent line to $y=x^2$ at $(-2,4)$:
$y-4=-4(x-(-2))$
$y-4=-4(x+2)$
So, the statement is not true.
