advertisement

Algebra 2: Linear and Quadratic Equations Name_________________________ Worksheet #1 – SHOW ALL WORK TO RECEIVE FULL CREDIT! 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 x d) Name 2 methods to graph this function. 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. 2. If x 1 then y _____ 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 15. If y 3 then x ____ 16. Using the grid below, graph the line y x 3 y ____ 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. For the parabola y x 2 6 x 3 Algebraically find y y when a) x 1 b) x 1 c) Use the substitution method to find where the parabola in # 11 intersects with the parabola y x 2 5 x 11 y x 20. Check your answers with the graphing calculator!