Math 112 Carter Test 1 Spring 2002
General Instructions: Write your name on only the outside of your blue
book. Put your test paper inside your blue book as you leave. Solve each of
the following problems point values (out of 100 points) are indicated on the
problems.
1. Determine the equation and sketch the graph of the line (6 points each):
(a) that has slope 2 and contains the point (0,4).
(b) that has x-intercept (โ45,0) and y-intercept (0,52).
(c) that contains the points (23,22) and (10,13).
(d) that has slope 4 and passes through the point (1,9).
(e) that is parallel to the line y=3xand passes through the point (1,4).
(f) that is horizontal and passes through the point (2,7).
2. For each of the following parabolas determine the vertex, y-intercept,
and sketch the graph. Be sure to indicate a scale on your graph (8
points each).
(a) y=x2+8xโ10
(b) y=5x2
โ10x+1
(c) y=4x2
โ4x+1
3. Determine the center and radius for each of the following circles. Sketch
the graph. ( 7points each):
(a) x2
โ2x+y2
โ15 = 0
(b) x2+8x+y2
โ6y=24
4. (8 points) Solve the equation
x3=49x
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