The height of a falling object above the ground after t seconds can be modeled by a quadratic function. A ball is thrown directly upward from a height of 48 feet. The ball's position above the ground after 1 and 2 seconds is shown in the following table: Time Position above the ground 48 1 64 2 48 Find the quadratic function that fits this data. Select one: O a. s(t) = 16t2 - 32t - 48 O b. s(t) = -16t2 + 32t + 48 O c. s(t) = 6t2 + 12t + 48 O d. s(t) = -6t2 – 12t – 48

The height of a falling object above the ground after t seconds can be modeled by a quadratic function. A ball is thrown directly upward from a height of 48 feet. The ball's position above the ground after 1 and 2 seconds is shown in the following table: Time Position above the ground 48 1 64 2 48 Find the quadratic function that fits this data. Select one: O a. s(t) = 16t2 - 32t - 48 O b. s(t) = -16t2 + 32t + 48 O c. s(t) = 6t2 + 12t + 48 O d. s(t) = -6t2 – 12t – 48

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A dolphin jumped out of the water in a tank and then dove back in. The dolphin’s height, in metres,…

A: We shall represent time by variable x and height by y. So, the given data can be written as follows.…

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

A: Solution :- The equation is y=a+bx+cx2 and the normal equations…

Q: he following table shows the stopping distance of a car on dry pavement A. Determine an approximate…

A: since there are multiple parts , first two parts are answered . Kindly repost for more help .

Q: A model rocket is launched straight up. Its height in feet (y) above the ground x seconds after…

A: The height of the rocket after x seconds of the launch is given by y=-16x2+208x+12. The given time…

Q: Sketch the graph of the following quadratic function by method of factoring or Quadratic formula to…

Q: The table shows data from 1975 and projections to 2050 of the number of millions of people age 15 to…

A: Since x represent number of years after 1970. so, take x=0 for 1970. Rewrite the table as follows:…

Q: 1.Find the following Quadratic functions: A. Give the equation of a quadratic function that passes…

Q: The owner of a yoga studio models her profits using a quadratic function, where x is the number of…

A: x = No. of classes offered each day, p(x) = Daily profit, we have given some value of No. of classes…

Q: Lucy is visiting friends in town and needs to book a room at the Happy Stay Hotel. The hotel charges…

A: Cost function is C(n) = 150n +50.

Q: Determine the quadratic function that is described by the following:

Q: Find a quadratic function to model the values in the table.

Q: Write a quadratic function that fits the points (2, 27), (4, 61), and (7, 142).

A: According to the given question, y(2) = 27 y(4) = 61 y(7) = 142

Q: The table shows the yearly profits y (in thousands of dollars) that a company expects to make when…

A: The table shows the investing amount x and profit y of the company is, Amount investment in…

Q: The table gives the wind chill temperature when the outside temperature is 20°F a. Use x as the wind…

Q: Write the equation of the quadratic function if it was reflected over the x-axis, had a vertical…

A: Follow step 2 .

Q: Find an example of a quadratic function in the field of your interest. Draw its picture in the…

A: let's take the quadratic function: f(x) = 2x^2 - 4x + 1 To find the vertex of this function, we can…

Q: Inez throws a ball upward from her apartment balcony and the ball falls to the ground below. The…

Q: A golf ball is hit from the ground. The golf ball reaches a maximum height of 80 feet after 30 yards…

Q: As part of a show, mike and Susan each jump from different platforms onto a trampoline below. Mike's…

Q: The zeros of a quadratic function are 1/2 and -3. The y-intercept of the quadratic function is -4.…

Question

100%

The height of a falling object above the ground after t seconds can be modeled by a quadratic
function. A ball is thrown directly upward from a height of 48 feet. The ball's position above
the ground after 1 and 2 seconds is shown in the following table:
Time
Position above the ground
48
1
64
2
48
Find the quadratic function that fits this data.
Select one:
O a. s(t) = 16t2 - 32t - 48
O b. s(t) = -16t2 + 32t + 48
O c. s(t) = 6t2+ 12t + 48
O d. s(t) = -6t2 – 12t – 48

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Graph the quadratic function y = 2x? + 7x - 4 using the online calculator e . Choose the ordered pairs from the dropdown boxes that represent the x- intercepts, the y-intercept and the vertex. x-intercepts (Choose] y-intercept [Choose ) vertex [Choose |
A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters? A. 3 B. 6 C. 7 D. 9
The graph shows a quadratic function of the form R(t) = at2+bt+c, which represents the yearly revenue for a company, where R(t) is the revenue in year t. a. Is the value of a positive, negative, or zero? Explain. b. Write an expression in terms of a and b that represents the year t when the company had the least revenue. c. The company made the same yearly revenues in 2008 and 2018. Estimate the year in which the company had the least revenue. d. Assume that the model is still valid today. Are the yearly revenues currently increasing, decreasing, or constant? Explain.
Match the physical situation with the graph of the quadratic function that models it best. The temperature after x hours in a house where an air conditioner is turned on and then is turned off again. Choose the correct graph below. O A. O B. C. O D.
The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.