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# graph of each of these curves below

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Part I

Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.

a. (X+2)2 + (Y-4)2 = 36

b. Y = 3X2

c. Y = X2 + X

d. (X-1)2 + (Y-8)2 = 16

Part II

Find the equation for each of the following items below:

a. A line that passes through (6,2) and has a slope of 2.

b. A line that passes though the points (2,4) and (8,16)

c. A line that passes through (7,3) and has a slope of -1.

d. A line that passes through (1, 1) and is perpendicular to the line 3x+4Y=12.

e. A circle with a radius of 9 and a midpoint at (3,3)

Part III

Solve for the following items:

a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2).

b. The distance between the points (6,4) and (18,4).

c. The distance between the points (1,4) and (19,6).

d. The midpoint between (12, 6) and (18, 4)

e. The midpoint between (-6, -8) and (23, 5)

##### Solution Summary

Graph of each of these curves below within the case.

##### Solution Preview

Part I

Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.

a. (X+2)2 + (Y-4)2 = 36
This is a circle centered at (-2, 4) and it has radius 6.

b. Y = 3X2
This is a parabola with vertex (0, 0) and it is open upward.

c. Y = X2 + X = (X + 1/2)^2 - 1/4
This is a parabola with vertex (-1/2, -1/4) and it is open upward.

d. ...

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