Download Math 1010-2 Final Practice 4: Graphs

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Math 1010-2 Final Practice 4:
Graphs
1. Solve the following inequality and then graph your solution on the real number line:
2x + 1 < 3x + 2
2. Find the distance between the point (−1, 2) and the origin.
3. Find the midpoint between the point (−1, 2) and the origin.
4. Find an equation of the line that passes through (1, 1) and has slope −1, rewrite your equation in
the slope-intercept form.
5. Find an equation of the line that is parallel to the line y = 3x + 1 and whose x-intercept is 2, rewrite
your equation in the slope-intercept form.
6. Find an equation of the line passing through the points (1, 2) and (−1, 1), rewrite your equation in
the slope-intercept form.
7. Sketch the graph of the following equation on a rectangular coordinate system:
x−y =1
.
8. Suppose the graph of y = x2 is shifted 2 units to the right then 1 unit downwards. Find an equation
of the new graph.
9. Sketch the graph of the following equation on a rectangular coordinate system:
y = x2 + 2x − 3
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