9514 1404 393
Answer:
9. vertex: (1, -2)
10. dashed line, shaded inside, opens down, (neither point is a solution)
Explanation:
The graph is attached. Either the graph or the equation will tell you the vertex is (1, -2). Since the leading coefficient is negative, the parabola opens downward. Since the comparison is "y < ( )", shading is below the boundary line, so shading is inside the parabola.
The point (0, 0) is outside the parabola, so is not a solution. The point (2, -3) is on the (dashed) boundary line, so is not a solution. (The boundary line is dashed because points on it are not part of the solution set.)
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The inequality is written in vertex form:
y < a(x -h)^2 +k . . . . . . . . has vertex (h, k)
The value of h in your inequality is 1, and the value of k is -2, so the vertex is (1, -2) as read from the inequality itself. (No graphing needed.)