Copyright Scott Storla 2015

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Presentation transcript:

Copyright Scott Storla 2015 Quadratic Functions Copyright Scott Storla 2015

Copyright Scott Storla 2015 Discuss whether the graph opens up or down, the vertex, any minimum or maximum, the axis of symmetry and any intercepts. Opens up Vertex (2,-2) Minimum of -2 Axis of symmetry x = 2 y-intercept (0,0) x-intercepts (0,0) (4,0) Copyright Scott Storla 2015

Copyright Scott Storla 2015 Discuss whether the graph opens up or down, the vertex, any minimum or maximum, the axis of symmetry and any intercepts. Opens up Vertex (-6,0) Minimum of 0 Axis of symmetry x = -6 y-intercept (0,9) x-intercept (-6,0) Copyright Scott Storla 2015

Copyright Scott Storla 2015 Discuss whether the graph opens up or down, the vertex, any minimum or maximum, the axis of symmetry and any intercepts. Opens down Vertex (-4,-4) Maximum of -4 Axis of symmetry x = -4 y-intercept (0,-8) x-intercepts none Copyright Scott Storla 2015

Copyright Scott Storla 2015 Opens up y-intercept (0,7) Vertex (4,-9) Axis of symmetry x = 4 x-intercepts (1,0) (7,0) Copyright Scott Storla 2015

Copyright Scott Storla 2015 Opens down y-intercept (0,8) Vertex (-1,9) Axis of symmetry x = -1 x-intercepts (-4,0) (2,0) Copyright Scott Storla 2015

Copyright Scott Storla 2015 Opens up y-intercept (0,14) Vertex (-3,-4) Axis of symmetry x = -3 x-intercepts (-4.4,0) (-1.6,0) Copyright Scott Storla 2015

Copyright Scott Storla 2015 Opens up y-intercept (0,25) Vertex (3,-2) Axis of symmetry x = 3 x-intercepts (2.2,0) (3.8,0) Copyright Scott Storla 2015

Copyright Scott Storla 2015

Copyright Scott Storla 2015

Copyright Scott Storla 2015 Discuss the meaning of R(0) both in English and Algebraically. Discuss the meaning of R(t) = 43.5 both in English and Algebraically. Translate, “Find the amount recovered in 1997” into functional notation and use the function to answer the question. Translate, “In what year does the amount recovered first reach 50 million tons?” into functional notation and use the function to answer the question. Copyright Scott Storla 2015

Copyright Scott Storla 2015 What does the coefficient –0.1 imply about future growth? Find the year the number of subscribers will peak. Find how many subscribers there will be during the peak year. Graph the function. (Make sure you label and scale your axes.) Predict when the number of subscribers will again reach the 1995 level. Copyright Scott Storla 2015

Copyright Scott Storla 2015 What does the coefficient imply. Find the vertex and discuss the meaning of both coordinates. Ask, "When will there be 2,000,000 farms?" using functional notation and use the function to answer the question. Find F(37) and discuss its meaning. Find the number of farms 20 years after there were 2,400,000 farms. Copyright Scott Storla 2015