Name Use a table of values to graph

Name: _____ Use a table of values to graph y = x 2 + 2 x – 1. State the domain and range What are the coordinates of the vertex of the graph of y = x 2 – 5 x? Is the vertex a maximum or minimum? warm-up 9 -2 What is the equation of the axis of symmetry for y = –x 2 + 2? What is the maximum height of a rocket fired straight up if the height in feet is described by h = – 16 t 2 + 64 t + 1, where t is time in seconds?

Details of the Day EQ: What can a quadratic function graph tell you? Activities: Warm-up Review homework Notes: Class work/ HW I will be able to… *Solve quadratic equations by graphing *Estimate solutions of quadratic equations by. graphing. Vocabulary: • double root

9 -2 Solving Equations by Graphing c i r t a r s d n a o i u t Q ua q E e e

A Quick Review Use a table of values to graph y = x 2 + 2 x – 1. State the domain and range What are the coordinates of the vertex of the graph of y = x 2 – 5 x? Is the vertex a maximum or minimum? What is the equation of the axis of symmetry for y = –x 2 + 2? What is the maximum height of a rocket fired straight up if the height in feet is described by h = – 16 t 2 + 64 t + 1, where t is time in seconds?

Notes and examples Solve x 2 – 3 x – 10 = 0 by graphing

Notes and examples Solve x 2 – 2 x – 8 = 0 by graphing Solve x 2 + 8 x = – 16 by graphing

Notes and examples Solve x 2 + 2 x = – 1 by graphing. Solve x 2 + 2 x + 3 = 0 by graphing

Notes and examples Solve x 2 + 4 x + 5 = 0 by graphing. Solve x 2 – 4 x + 2 = 0 by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

Notes and examples Solve x 2 – 5 x + 1 = 0 by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth. MODEL ROCKETS Consuela built a model rocket for her science project. The equation h = – 16 t 2 + 250 t models the flight of the rocket, launched from ground level at a velocity of 250 feet per second, where h is the height of the rocket in feet after t seconds. Approximately how long was Consuela’s rocket in the air?

Notes and examples GOLF Martin hits a golf ball with an upward velocity of 120 feet per second. The function h = – 16 t 2 + 120 t models the flight of the golf ball hit at ground level, where h is the height of the ball in feet after t seconds. How long was the golf ball in the air?