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MathNet 2017-part-06 — 176 problems (EN–VI) Question 73

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 73

Functions $f, g: \mathbb{R} \rightarrow \mathbb{R}$ are given by the rules $f(x)=6-4x-2x^{2}$ and $g(x)=-x+4$.

a) Draw the graphs of both functions in the same coordinate system.

b) Write the equation of the tangent to the graph of $f$ that is parallel to the graph of $g$.

Question illustration