Graphing - Problem Set

1. Which two points of the following are in the same quadrant: (1,4), (e,1),(2, pi2), (3,5), and (6.4, 1

3).

2. The graphs of which line passes closer to the point (10,15): y = 3x+ 5, ory = 6x?

3. Give the equations for one line that is perpendicular and another that isparallel to the line 3x + 2y = 4.

4. Find the vertex and roots of each of the following parabolas:y = 3(x 1)2 9, y = x2 + 2x 48, and y = x(x 10).

5. Let f(x) = x2 2x 8. If you drew the segment(s) of the graph wheref(x) 1, how many separate segments did you draw?

6. Find the center and radius of the following circles: x2 + y2 = 25,(x 1)2 + (y + 2)2 = 7, and 3x2 12x 18y + 3y2 = 0.7. The graphs of the following equations on the x-y axes have how many

points: no points, a finite number, or infinitely many? x2 + y2 = 4,x + y = 4, and/or x2 + xy = 1?

8. Which of the following functions have graphs that intersect the x-axis:y = 2(x + 1)2 10, y = 3

x1 , and/or y = x + 7 3?9. Which of the following functions have graphs that intersect the y-axis:

y = 2(x + 1)2 10, y = 3x1 , and/or y = x + 7 3?

10. Graph the following functions: y = 2x, y = 2x, y = 1x2 , and y = x3 + 2.

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