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MAT101 - College Mathematics (Graphs & Functions)

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

a. Y = 3X^2

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

c. (X+2)^2 + (Y-4)^2 = 36

d. Y = X^2 + X

Need assisting in finding the equation for each of the following items below:

a. A line that passes through (6,26) and has a slope of 3.

b. A line that passes though the points (5,5) and (10,20)

c. A line that passes through (9,25) and has a slope of -3.

d. A line that passes through (1,1) and is perpendicular to the line 4x+6Y=18.

e. A circle with a radius of 4 and a midpoint at (2,2)

Need help with solving the following items:

a. The point on the x-axis that is equidistant (equal distance) from (8,4) and (-4,2).

b. The distance between the points (8,2) and (16,2).

c. The distance between the points (2,6) and (12,8).

d. The midpoint between (8,2) and (10,6)

e. The midpoint between (-4, 2) and (-5, 3)

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The solution is comprised of detailed step-by-step calculation and explanation of the various problems related to Graphs & Functions. This solution provides students with a clear perspective of the underlying mathematical aspects.

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