Math 2 Quadratics group activity Name: _________________________ Use the quadratic equation f x 4x2 8x 21 to complete the following tasks: 1. Does the parabola open upward or downward? ___________ How can you determine this from the equation? 2. Is the vertex a minimum or a maximum? _____________________________ How do you know? 3. What are the roots/zeros/x-intercepts of your parabola? a. Solve by factoring and the Zero-Product Property. Show your work. roots/zeros/x-intercepts: _______________________ b. Solve by using the Quadratic Formula. Show your work. roots/zeros/x-intercepts: _______________________ 4. What are the coordinates of the vertex of your parabola? Show your work. Vertex : _______________________ 5. Write the equation in vertex form (by completing the square). Show your work. Vertex : _______________________ 6. What is the axis of symmetry of your parabola? ___________________________ 7. What is the domain of your function? ___________________________________ 8. What is the range of your function? ____________________________________ 9. What is the y-intercept of your parabola? _______________________________ 10. Calculate the coordinates of three other points. Show your work. 11. Carefully draw your parabola using the information you found in steps 1 – 1. Be sure to plot AND LABEL the coordinates you have found in the previous steps to help sketch the parabola. Pick an appropriate scale for the x- and y- axis! Pick an appropriate scale for the x- and y- axis! Math 2 Quadratics group activity Name: _________________________ Use the quadratic equation f x x2 8x 12 to complete the following tasks: 1. Does the parabola open upward or downward? ___________ How can you determine this from the equation? 2. Is the vertex a minimum or a maximum? _____________________________ How do you know? 3. What are the roots/zeros/x-intercepts of your parabola? a. Solve by factoring and the Zero-Product Property. Show your work. roots/zeros/x-intercepts: _______________________ b. Solve by using the Quadratic Formula. Show your work. roots/zeros/x-intercepts: _______________________ 4. What are the coordinates of the vertex of your parabola? Show your work. Vertex : _______________________ 5. Write the equation in vertex form (by completing the square). Show your work. Vertex : _______________________ 6. What is the axis of symmetry of your parabola? ___________________________ 7. What is the domain of your function? ___________________________________ 8. What is the range of your function? ____________________________________ 9. What is the y-intercept of your parabola? _______________________________ 10. Calculate the coordinates of three other points. Show your work. 11. Carefully draw your parabola using the information you found in steps 1 – 1. Be sure to plot AND LABEL the coordinates you have found in the previous steps to help sketch the parabola. Pick an appropriate scale for the x- and y- axis! Pick an appropriate scale for the x- and y- axis!

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# Unit 3 Group Project PRACTICE