4
AssignmentMultiple Select

Conic Inequalities

Question 4 • Precalculus

Huang graphed (x – 1)2 > –2(y – 4). Which reasons could Huang use to justify that his graph is correct? Check all that apply.Because only the x quantity is squared, the curve is a parabola.The values subtracted from x and y in the equation are the coordinates of the vertex which is (1, 4).The parabola opens left because –2 is in front of the y-quantity.The shading is outside the parabola because (0, 0) doesn’t satisfy the inequality.There is a strict inequality so they boundary is not included in the solution set.

Answer
A
Because only the x quantity is squared, the curve is a parabola.
B
The values subtracted from x and y in the equation are the coordinates of the vertex which is (1, 4).
C
The parabola opens left because –2 is in front of the y-quantity.
D
The shading is outside the parabola because (0, 0) doesn’t satisfy the inequality.
E
There is a strict inequality so they boundary is not included in the solution set.
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