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quadratic equations Snowball Tossing Let h t be the height of a snowball tossed from the top of a building We will use the function h t 16t 32t 128 to model the situation The graph of this function will look like this Height t 140 140 120 100 80 40 40 20 D Snowball Thrown from Rooftop 0 2 Time s 3 A a What is the practical meaning of the value 128 for this function How about the point at 4 seconds b What effect does the sign of the coefficient 16 have on the graph of the function c If we are given a quadratic function in standard form can we find any value for x given y or vice versa Part 1 Refer back to Example 1 in the Learning Activity titled Minimum and Maximum Values A quadratic equation is provided along with the coordinates of its vertex In your own words describe the logic that allows one to conclude that 1 there must be a maximum or minimum value and 2 the location for that maximum or minimum value must be at the vertex Also describe how you would be able to tell from just the equation and the coordinates of the vertex whether the quadratic had a maximum value or a minimum value In formulating your response consider both a geometric viewpoint From the perspective of the graph what s going on and an algebraic one What do the numbers say and why Part 2 Please respond to the following using what you have learned about

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