Holt CA Course 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

Holt CA Course Graphing Quadratic Functions Vocabulary quadratic function parabola

Holt CA Course 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.

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

Holt CA Course 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– (–2) 2 – (–2) (–1) 2 – (–1) (0) 2 – (0) (1) 2 – (1) (2) 2 – (2) + 1 3

Holt CA Course 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– (–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.

Holt CA Course 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– (–2) 2 + (–2) (–1) 2 + (–1) (0) 2 + (0) (1) 2 + (1) (2) 2 + (2) + 1 7

Holt CA Course 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

Holt CA Course 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

Holt CA Course 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