Name:__________ warm-up 9-1 Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x 2 + 11x – 21 = 0.

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Presentation transcript:

Name:__________ warm-up 9-1 Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x x – 21 = 0

A certain basketball player’s hang time can be described by 4t 2 = 1, where t is time in seconds. How long is the player’s hang time? One side length of a square is ax + b. The area of this square is 9x x + 4. What is the sum of a and b?

Details of the Day EQ: What can a quadratic function graph tell you? I will be able to… Graph quadratic functions Activities: Warm-up Review homework Notes: Class work/ HW Vocabulary: quadratic function standard form parabola axis of symmetry vertex minimum maximum Analyze the characteristics of graphs of quadratic functions.

Functions Quadratic – Quadratic – Quadratic – Quadratic Functions Quadratic – Quadratic – Quadratic - Quadratic Functions Quadratic – Quadratic – Quadratic - Quadratic Functions Quadratic – Quadratic – Quadratic - Quadratic Functions Quadratic – Quadratic – Quadratic - Quadratic

A Quick Review Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x x – 21 = 0

A Quick Review A certain basketball player’s hang time can be described by 4t 2 = 1, where t is time in seconds. How long is the player’s hang time? One side length of a square is ax + b. The area of this square is 9x x + 4. What is the sum of a and b?

Notes and examples

Use a table of values to graph y = x 2 – x – 2. State the domain and range Find the vertex, the equation of the axis of symmetry, and y-intercept of the graph.

Notes and examples Use a table of values to graph y = x 2 + 2x + 3. A.Find the vertex, the equation of the axis of symmetry, and y-intercept of the graph.

Notes and examples Consider the graph of y = 3x 2 – 6x + 1. Write the equation of the axis of symmetry Consider the graph of y = 3x 2 – 6x + 1. Find the coordinates of the vertex.

Notes and examples B. Find the vertex, the equation of the axis of symmetry, and y-intercept of the graph

Notes and examples

Consider f(x) = –x 2 – 2x – 2. Determine whether the function has a maximum or a minimum value. State the maximum or minimum value of the function. Consider f(x) = –x 2 – 2x – 2. State the domain and range of the function.

Notes and examples A.TENNIS Ellie hit a tennis ball into the air. The path of the ball can be modeled by y = –x 2 + 8x + 2, where y represents the height in feet of the ball x seconds after it is hit into the air. Graph the path of the ball A.At what height was the ball hit? (the y-intercept) What is the maximum height of the ball? (the vertex)

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