1. Holt CA Course 1 7-4 Graphing Quadratic Functions Review For the function, find the value of y for x = 0, x = 4, and x = –5. y = 6x – 3 –3, 21, –33

2. Holt CA Course 1 7-4 Graphing Quadratic Functions Vocabulary quadratic function parabola

3. Holt CA Course 1 7-4 Graphing Quadratic Functions A quadratic function is a function in which the greatest power of the variable is 2. The most basic quadratic function is y = nx 2 where n ≠ 0. The graphs of all quadratic functions have the same basic shape, called a parabola.

4. Holt CA Course 1 7-4 Graphing Quadratic Functions Create a table for each quadratic function, and use it to graph the function. A. y = x 2 + 1 Additional Example 1: Graphing Quadratic Functions Plot the points and connect them with a smooth curve. x x 2 + 1 y –2–2 –1–1 0 1 2 (–2) 2 + 1 5 (–1) 2 + 1 2 (0) 2 + 1 1 (1) 2 + 1 2 (2) 2 + 1 5

5. Holt CA Course 1 7-4 Graphing Quadratic Functions B. y = x 2 – x + 1 Additional Example 1: Graphing Quadratic Functions Plot the points and connect them with a smooth curve. x x 2 – x + 1 y –2–2 –1–1 0 1 2 (–2) 2 – (–2) + 1 7 (–1) 2 – (–1) + 1 3 (0) 2 – (0) + 1 1 (1) 2 – (1) + 1 1 (2) 2 – (2) + 1 3

6. Holt CA Course 1 7-4 Graphing Quadratic Functions A. y = x 2 – 1 Check It Out! Example 1 Plot the points and connect them with a smooth curve. x x 2 – 1 y –2–2 –1–1 0 1 2 (–2) 2 – 1 3 (–1) 2 – 1 0 (0) 2 – 1 –1 (1) 2 – 1 0 (2) 2 – 1 3 Create a table for each quadratic function, and use it to make a graph.

7. Holt CA Course 1 7-4 Graphing Quadratic Functions B. y = x 2 + x + 1 Check It Out! Example 1 Plot the points and connect them with a smooth curve. xx 2 + x + 1 y –2–2 –1–1 0 1 2 (–2) 2 + (–2) + 1 3 (–1) 2 + (–1) + 1 1 (0) 2 + (0) + 1 1 (1) 2 + (1) + 1 3 (2) 2 + (2) + 1 7

8. Holt CA Course 1 7-4 Graphing Quadratic Functions Lesson Quiz: Part I Create a table for the quadratic function, and use it to make a graph. 1. y = x 2 – 2

9. Holt CA Course 1 7-4 Graphing Quadratic Functions Lesson Quiz: Part II Create a table for each quadratic function, and use it to make a graph. 2. y = x 2 + x – 6

10. Holt CA Course 1 7-4 Graphing Quadratic Functions Lesson Quiz: Part III 3. The function y = 40t – 5t 2 gives the height of an arrow in meters t seconds after it is shot upward. What is the height of the arrow after 5 seconds? 75 m