2.7 Graphing Quadratics Sketch the graph of each function. Include the following information: x-intercepts, vertex, max or min, and zeros. 2. f(x) = 𝑥 2 − 9𝑥 − 21 1. f(x) = 𝑥 2 − 4𝑥 − 21 A. Solve the equation by factoring or by using the Quadratic Formula (show your computations). A. Solve the equation by factoring or using the Quadratic Formula (show your computations). B. Find the Vertex. (show your computations) B. Find the Vertex. (show your computations). C. Maximum or minimum? (how do you know?) C. Maximum or minimum? (how do you know?) D. Graph the equation and label the information found above on the graph. D. Graph the equation and label the information found above on the graph. 3. f(x) = 𝑥 2 + 10𝑥 + 16 A. Solve the equation by factoring or by using the Quadratic Formula (show your computations). B. Find the Vertex (show computations). C. D. 4. f(x) = 𝑥 2 − 4𝑥 + 3 A. Solve the equation by factoring or by using the Quadratic Formula (show your computations). B. Find the Vertex (show computations) Maximum or minimum? (how do you know?) C. Maximum or minimum? (how do you know?) Graph the equation and label the information from above on the graph. D. Graph the equation and label the information from above on the graph. 5. f(x) = 𝑏 2 − 10𝑏 + 21 A. Solve the equation by factoring or by using the Quadratic Formula (show computations). B. Find the vertex (show computations). C. D. 6. f(x) = 𝑛2 − 12𝑛 + 35 A. Solve the equation by factoring or by using the Quadratic Formula (show computations). B. Find the vertex (show computations). C. Maximum or Minimum? (how do you know?) D. Graph the equation and label the information from above on the graph. 8. f(x) = −𝑥 2 + 6𝑥 − 8 Maximum or Minimum? (how do you know?) Graph the equation and label the information from above on the graph. 7. f(x) = 𝑥 2 − 5𝑥 − 6 A. Solve the equation by factoring or by using the Quadratic Formula (show computations). A. Solve the equation by factoring or by using the Quadratic Formula (show computations). B. Find the vertex (show computations). B. Find the vertex (show computations). C. Maximum or Minimum? (how do you know?) C. Maximum or Minimum? (how do you know?) D. Graph the equation and label the information from above on the graph. D. Graph the equation and label the information from above on the graph.
