Name:__________ warm-up 9-2

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Name:__________ warm-up 9-2 Use a table of values to graph y = x2 + 2x – 1. State the domain and range What is the equation of the axis of symmetry for y = –x2 + 2? What are the coordinates of the vertex of the graph of y = x2 – 5x? Is the vertex a maximum or minimum? What is the maximum height of a rocket fired straight up if the height in feet is described by h = –16t2 + 64t + 1, where t is time in seconds?

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

9-2 Solving Equations by Graphing Quadratric Equations e

A Quick Review Use a table of values to graph y = x2 + 2x – 1. State the domain and range What is the equation of the axis of symmetry for y = –x2 + 2? What are the coordinates of the vertex of the graph of y = x2 – 5x? Is the vertex a maximum or minimum? What is the maximum height of a rocket fired straight up if the height in feet is described by h = –16t2 + 64t + 1, where t is time in seconds?

Notes and examples Solve x2 – 3x – 10 = 0 by graphing

Notes and examples Solve x2 – 2x – 8 = 0 by graphing

Notes and examples Solve x2 + 2x = –1 by graphing.

Notes and examples Solve x2 + 4x + 5 = 0 by graphing. Solve x2 – 4x + 2 = 0 by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

Notes and examples Solve x2 – 5x + 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 = –16t2 + 250t 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 = –16t2 + 120t 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?