A ball is thrown upward and outward from a height of 7 feet. The table shows four measurements indicating the ball's height at various horizontal distances from where it was thrown. A graphing calculator displays a quadratic function that models the ball's height, y, in feet, in terms of its horizontal distance, x, in feet. Answer parts (a)-(c) below. x, Ball's Horizontal Distance (feet) y, Ball's Height (feet) QuadReg y = ax? + bx + c 1 7.5 7 a = - 0.7 3 b= 2.0 4 3.3 c= 6.7 a. Explain why a quadratic function was used to model the data. O A. The height decreases then increases, which looks like a quadratic function. O B. The height decreases quickly at first, but then decreases more slowly, which looks like a quadratic function. OC. The height starts decreasing more and more rapidly, which looks like a quadratic function. O D. The height increases then decreases, which looks like a quadratic function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 61E
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A ball is thrown upward and outward from a height of 7 feet. The table shows four measurements indicating the ball's height at various horizontal distances from
where it was thrown. A graphing calculator displays a quadratic function that models the ball's height, y, in feet, in terms of its horizontal distance, x, in feet. Answer
parts (a)-(c) below.
x, Ball's Horizontal Distance (feet)
y, Ball's Height (feet)
QuadReg
y = ax? + bx + c
1
7.5
a = -0,7
3
7
b = 2.0
c = 6.7
4
3.3
a. Explain why a quadratic function was used to model the data.
O A. The height decreases then increases, which looks like a quadratic function.
B. The height decreases quickly at first, but then decreases more slowly, which looks like a quadratic function.
O C. The height starts decreasing more and more rapidly, which looks like a quadratic function.
O D. The height increases then decreases, which looks like a quadratic function.
Transcribed Image Text:A ball is thrown upward and outward from a height of 7 feet. The table shows four measurements indicating the ball's height at various horizontal distances from where it was thrown. A graphing calculator displays a quadratic function that models the ball's height, y, in feet, in terms of its horizontal distance, x, in feet. Answer parts (a)-(c) below. x, Ball's Horizontal Distance (feet) y, Ball's Height (feet) QuadReg y = ax? + bx + c 1 7.5 a = -0,7 3 7 b = 2.0 c = 6.7 4 3.3 a. Explain why a quadratic function was used to model the data. O A. The height decreases then increases, which looks like a quadratic function. B. The height decreases quickly at first, but then decreases more slowly, which looks like a quadratic function. O C. The height starts decreasing more and more rapidly, which looks like a quadratic function. O D. The height increases then decreases, which looks like a quadratic function.
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