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Opener X Y 25 5 26 10 27 20 29 50 35 A cell phone company's plan rate is shown below. What does the y-intercept represent? Cost (dollars) Usage (minutes)
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Opener X Y 25 5 26 10 27 20 29 50 35 A cell phone company's plan rate is shown below. What does the y-intercept represent? This must be the monthly charge since no minutes have been used yet. Cost (dollars) Usage (minutes)
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(2x+6)(x+3) 2 π₯ 2 +6π₯+6π₯+18 The area of the park is represented by β¨the expression 2 π₯ 2 +12π₯+18 yd2.
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2 π₯ 2 +6π₯+6π₯+18 (or their answer from #1) + 3 π₯ 2 +11π₯ β2 5 π₯ 2 +23π₯+16 yd2
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Essential Question Learning Objective
What are the key features of quadratic β¨functions? Given a graph and table, I will identify β¨key features of the quadratic situation and interpret them in context.
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ax2+bx+c Key Features of Quadratic Functions
you should know: 2 key features of quadratic functions be able to ID them on graph and table interpret them in terms of a context
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Key Terms: Intercepts - where a function crosses (intercepts) an axis.
For quadratic functions, the x-intercepts are the most important.
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Key Terms: Intercepts - where a function crosses (intercepts) an axis.
For quadratic functions, the x-intercepts are the most important. x-intercepts
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Key Terms: Vertex - the minimum or maximum point of a quadratic function. (the "tip" of the curve)
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Key Terms: Vertex - the minimum or maximum point of a quadratic function. (the "tip" of the curve) Vertex
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Diving for Food The path a seagull takes as it dives for food can be modeled with a quadratic function. X Y 2 8 4 5 -1 6 Height (feet) Time (seconds)
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time (seconds) height (feet)
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time (seconds) height (feet)
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time (seconds) height (feet)
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time (seconds) height (feet)
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time (seconds) height (feet)
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"Your Turn"
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"WE DO" β¨TIME
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Problem distance (ft) The parabola represents a
crater in the Earth's crust. If y = 0 represents the level Earth surface, approximately what is the diameter of the edge of the crater? How deep does the crater reach? height (ft) distance (ft)
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Essential Question Learning Objective
What are the key features of quadratic β¨functions? Given a graph and table, I will identify β¨key features of the quadratic situation and interpret them in context.
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Closure Which one is incorrect & why? Then give the correct info. #1 The x-intercept is (0,8) #2 The vertex is (6,0) x y -7 -13 -5.1 4 8 -2.1 12.9 1.7 3
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Begin Quadratics Task 1 in Projects Tab
HW Math II Begin Quadratics Task 1 in Projects Tab
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real life situations using parabolas:
antennas projectiles cannon balls bouncing balls catapults potato shooters pumpkin tosses kicked balls craters bridge arches
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time (seconds) height (feet)
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distance (tens of feet)
height (feet)
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