How many times does the graph of 4x = 32 - x2 cross the x-axis?

Rewrite the equation as x² + 4x − 32 = 0. Factoring gives (x + 8)(x − 4) = 0, so the graph crosses the x-axis at x = −8 and x = 4. That makes two crossings, so the correct choice is 2.

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