Conic Inequalities

Question 1

Which inequality is represented by the graph?

Revolt · Accepted Answer

y ≥ –3(x + 1)2 + 5

Question 2

✔ y – 0y – 1y – 2

Revolt · Accepted Answer

✔ y – 0

Question 3

8✔ 948

Revolt · Accepted Answer

✔ 9

Question 4

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

Revolt · Accepted Answer

✔ x + 1; ()2 + ()2 ≤: x + 1; ()2 + ()2 ≤: y – 0; ()2 + ()2 ≤: 9

Question 5

Describe the features of x ≥ (y – 3)2 – 2? Check all that apply.parabola with a vertex (–2, 3) opening to the leftparabola with a vertex (–2, 3) opening to the rightparabola with a vertex (–2, 3) opening upquadrant 2 is not shaded at allquadrant 3 is not shaded at all

Revolt · Accepted Answer

parabola with a vertex (–2, 3) opening to the right; quadrant 3 is not shaded at all

Question 6

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 7

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

Revolt · Accepted Answer

64(x – 8)2 + 12y2 < 144

Question 8

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

(–1, –1); (0, 0); (1, –2)

Question 9

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

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.; 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).

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

✔ ellipse with a dashed line boundary; 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)

Conic Inequalities Answers

More from this Course

TRY EDGENUITY HACKS