Geometry_ Linear and Quadratic Equations

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					Algebra 2: Linear and Quadratic Equations Worksheet #1 – SHOW ALL WORK TO RECEIVE FULL CREDIT!

Name_________________________

1 1. a) Identify the y-intercept of y  x  2 3

y

1 b) Identify the slope of y  x  2 3

1 c) Graph y  x  2 3
d) Name 2 methods to graph this function.

x

2. If x  1 then

y  _____

3. If y  4 then x  _____

4. Find where the line crosses the x-axis algebraically.

5. Find x and y intercepts of the line with equation 2x  3y  15

6. Using the grid above, graph the line in problem 5

7. Change 2x  3y  15 into slope-intercept form

8. Find where the two lines intersect using substitution method.

9. Find the area of the triangle bounded by the two lines and the x-axis.

1 10. Change y  x  2 into standard 3 form.

11. Find where the parabola y  x 2  2x  3 intersects the x-axis

12. Give the coordinates of the vertex

13. Using the grid below, sketch the graph of the parabola in #11

14. If x  4 then

y  ____

15. If y  3 then x  ____

16. Using the grid below, graph the line y  x  3

17. Use substitution method to find where the parabola and line intersect You should be solving an equation and your answer should be in point form and match your graph!!!!

18. Check all of your answers with the TI-83 1. y = and graph 2. 2nd Calc value 3. Trace or Table 4. 2nd Calc Zero 5. 2nd Calc Zero, Trace 6,7. y = and graph 8. 2nd Calc Intersect 11. 2nd Calc Zero 12. 2nd Calc Minimum 14. 2nd Calc Value 15. Trace or Table 16. y = and graph 17. 2nd Calc Intersect

y

x


				
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