Vertical Height (In Feet)

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quadratic function- a nonlinear function with an “x squared” term

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Vertical Height (In Feet) Algebra 2/Trig Name: _________________________ Unit 2- Quadratic Application Date: __________________________ Directions: Read the scenario carefully. Answer each question. Label all answers. A ball is thrown in a path that can be modeled by y = -x2 + 6x + 7 where x represents time in seconds and y represents vertical height in feet. Identify the axis of symmetry: _____________ Identify the vertex: _______________ Identify the y-intercept: _________ Identify the x-intercepts: ____________________ a) What is the initial height of the ball (when x = 0)? b) What is the height of the ball after 2 seconds (x = 2)? c) After how many seconds does the ball reach its maximum height? d) What is the maximum height of the ball? e) Write the equation for the path of the ball in vertex form. f) Graph the equation. Describe any transformations to the parent graph of y=x2. Vertical Height (In Feet) Time (In Seconds)

Vertical Height (In Feet) Algebra 2/Trig Name: _________________________ Unit 2- Core Retake Assignment Date: __________________________ Directions: Read the scenario carefully. Answer each question. Label all answers. A ball is thrown in a path that can be modeled by y = -x2 + 2x + 7 where x represents time in seconds and y represents vertical height in feet. Identify the axis of symmetry: _____________ Identify the vertex: _______________ Identify the y-intercept: _________ Identify the x-intercepts: ____________________ a) What is the initial height of the ball (when x = 0)? b) What is the height of the ball after 2 seconds (x = 2)? c) After how many seconds does the ball reach its maximum height? d) What is the maximum height of the ball? e) Write the equation for the path of the ball in vertex form. f) Graph the equation. Describe any transformations to the parent graph of y=x2. Vertical Height (In Feet) Time (In Seconds)