QuestionSketch the graph of each inequality. 4) $y \leq-x^{2}+8 x-12$ A) C) B) D)

Studdy Solution
Plot the vertex $(4, 4)$ on the coordinate plane.
Draw the parabola opening downwards, passing through the vertex.
Since the inequality is $y \leq -x^2 + 8x - 12$, shade the region below the parabola, including the parabola itself.
The graph that matches this description is the correct sketch of the inequality. Look for the graph where the parabola opens downwards with vertex at $(4, 4)$ and the region below it is shaded.