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7-62.

Find a so that the parabola y = ax2 + 3 is tangent to the line y = 5 − x. Also, state the point of tangency. Homework Help ✎

At the point of tangency ax2 + 3 = 5 − x

Since the tangent line is y = 5 − x, then the slope of the tangent is −1 at the point of tangency.
Therefore 2ax = −1.

Solve a system of equations.