The linear function f has a slope of -4. If g(x) = -2f(x) + 5, what is the slope of g?

Write $f(x) = -4x + c$. Then $g(x) = -2(-4x + c) + 5 = 8x - 2c + 5$. The slope of $g$ is 8, choice A. Multiplying a function by $-2$ multiplies its slope by $-2$, and adding 5 only shifts the graph up without changing the slope. Choice B ($-8$) has the wrong sign: a negative times a negative is positive. Choice C ($-4$) ignores the factor of $-2$. Choice D (5) is the vertical shift, not the slope. The graph of $g$ is steeper than that of $f$ and rises as $x$ increases, unlike $f$, which falls.