Question

use the following the partial graph of a quadratic inequality is shown. 5. the statement that describes an error in the graph of ( y leq x^2 + 11x - 15 ) is a. the vertex is incorrect. b. the incorrect region is shaded. c. the parabola should be a broken line. d. the parabola opens in the wrong direction.

Explanation:

Step1: Check parabola direction

For quadratic $y=ax^2+bx+c$, $a=1>0$, so parabola opens upward. The graph shows it opening downward.

Step2: Verify vertex (optional check)

Vertex $x=-\frac{b}{2a}=-\frac{11}{2(1)}=-5.5$. Graph vertex is at $x\approx6$, but direction is a clear error.

Step3: Check shading and line style

Inequality $\leq$ uses solid line (correct here). Shading for $y\leq$ should be below the parabola; if parabola opened upward, the shaded region would be below, but the core error is direction.

Answer:

D. The parabola opens in the wrong direction.