Answer
FALSE
Work Step by Step
A tangent to the parabola has the slope $\frac{dx}{dy}=2x$, so at $(-2,4)$ the slope of the tangent is $2(-2)=-4$ and the equation is
$y-4=-4(x+2)$
Also, the given equation $y-4=2x(x+2)$ is not linear.
Hence, the given statement is false.
