Conic Inequalities

Question 1

Which inequality is represented by the graph?

Revolt · Accepted Answer

A: y ≥ –3(x + 1)2 + 5

Question 2

Which graph represents the solution set to ?

Revolt · Accepted Answer

C: [Image: On a coordinate plane, an ellipse has center (nega...]

Question 3

Showing that (9, 1) is a solution of which inequality would justify shading inside the graph of the curve.

Revolt · Accepted Answer

D: 64(x – 8)2 + 12y2 < 144

Question 4

Which points justify shading inside the conic inequality 8x2 – 12x + 4y2 + 4y – 20 ≤ 0? Check all that apply.(–1, –2)(–1, –1)(0, 0)(0, 2)(1, –2)

Revolt · Accepted Answer

B: (–1, –1); C: (0, 0); E: (1, –2)

Question 5

Miranda graphed (y + 1)2 > 6(x – 2). Which could Miranda use to justify that her graph is correct? Check all that apply.Because only the y quantity is squared, the curve is a parabola.The parabola opens right because 6 is in front of the x-quantity.There is a strict inequality so the boundary is included in the solution set.The shading is outside the parabola because (0, 0) satisfies the inequality.The values subtracted from x and y in the equation are the coordinates of the vertex which is (2, –1).

Revolt · Accepted Answer

A: Because only the y quantity is squared, the curve is a parabola.; B: The parabola opens right because 6 is in front of the x-quantity.; D: The shading is outside the parabola because (0, 0) satisfies the inequality.; E: The values subtracted from x and y in the equation are the coordinates of the vertex which is (2, –1).

Question 6

Complete the square to justify that Julia’s graph is correct.

Revolt · Accepted Answer

B: ✔ x + 1

Question 7

✔ y – 0y – 1y – 2

Revolt · Accepted Answer

A: ✔ y – 0

Question 8

8✔ 948

Revolt · Accepted Answer

B: ✔ 9

Question 9

Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.

Revolt · Accepted Answer

The conic represented in this inequality is a(n) .: ellipse with a dashed line boundary; The center is at .: (1, –2); The ordered pair, , is a solution to the inequality.: (–2, 0)

Question 10

Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.

Revolt · Accepted Answer

B: ✔ ellipse with a dashed line boundary

Conic Inequalities Answers

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