You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the ball's height above the ground, y, after x seconds. Consider the following data. x, seconds after the y, ball's height, in feet, above the ground ball is thrown 1 224 3 176 4 104 a. Find the quadratic function y = ax? + bx + c whose graph passes through the given points. b. Use the function in part (a) to find the value for y when x = 5. Describe what this means.
You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the ball's height above the ground, y, after x seconds. Consider the following data. x, seconds after the y, ball's height, in feet, above the ground ball is thrown 1 224 3 176 4 104 a. Find the quadratic function y = ax? + bx + c whose graph passes through the given points. b. Use the function in part (a) to find the value for y when x = 5. Describe what this means.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 47PFA
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Transcribed Image Text:You throw a ball straight up from a rooftop. The ball misses
the rooftop on its way down and eventually strikes the
ground. A mathematical model can be used to describe the
ball's height above the ground, y, after x seconds. Consider
the following data.
x, seconds after the
y, ball's height, in feet,
above the ground
ball is thrown
1
224
3
176
4
104
a. Find the quadratic function y = ax? + bx + c whose
graph passes through the given points.
b. Use the function in part (a) to find the value for y when
x = 5. Describe what this means.
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