Answers LAUSD-Pre-Calculus B PrescriptiveUnit Test

Transformations of Quadratic Functions Answers

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Which equation represents a circle that contains the point (–2, 8) and has a center at (4, 0)?Distance formula:

(x – 4)2 + y2 = 100

(x – 4)2 + y2 = 10

x2 + (y – 4)² = 10

x2 + (y – 4)² = 100

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On a coordinate plane, a circle has a center at (1, negative 2) and a radius of 4 units.

(x – 1)2 + (y + 1)2 = 16

(x – 1)2 + (y + 1)2 = 4

(x + 1)2 + (y –1)2 = 4

(x + 1)2 + (y – 1)2 = 16

Which point is on the circle centered at the origin with a radius of 5 units?Distance formula:

(2, )

(2, )

(2, 1)

(2, 3)

Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z?

The radius is the constant term, z.

The radius is the constant term, z, divided by 2.

The radius is the square root of the constant term, z.

The radius is the square of the constant term, z.

What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

(−9,6)

(−6,9)

(6,−9)

(9,−6)

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

(x – 9)2 + (y + 4)2 = 25

(x + 4)2 + (y – 9)2 = 25

(x – 9)2 + (y + 4)2 = 100

(x + 4)2 + (y – 9)2 = 100

Distance formula:

Yes, the distance from (–2, 4) to (1, ) is 4 units.

Yes, the distance from (–2, 0) to (1, ) is 4 units.

No, the distance from (–2, 0) to (1, ) is not 4 units.

No, the distance from (–2, 4) to (1, ) is not 4 units.

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

2 units

3 units

4 units

5 units

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

(x – 3)2 + (y – 5)2 = 6

(x – 3)2 + (y – 5)2 = 36

(x + 3)2 + (y + 5)2 = 6

(x + 3)2 + (y + 5)2 = 36

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? Distance formula:

(x – 1)2 + (y + 2)2 = 25

(x + 2)2 + (y – 1)2 = 5

(x + 2)2 + (y – 1)2 = 25

(x – 1)2 + (y + 2)2 = 5

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Transformations of Quadratic Functions Answers

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