6. Quadratics and Data

Quadratic Applications — Quiz

Test your understanding of quadratic applications with 5 practice questions.

Practice Questions

Question 1

A ball is thrown upwards from a platform. The height of the ball in feet after $t$ seconds is given by the equation $h(t) = -16t^2 + 48t + 64$. What is the initial height of the ball when it is thrown?

Question 2

A rectangular garden has a length that is $5$ feet more than its width. If the area of the garden is $104$ square feet, which equation can be used to find the width, $w$?

Question 3

The path of a projectile is modeled by the equation $y = -x^2 + 10x$, where $y$ is the height and $x$ is the horizontal distance. At what horizontal distance does the projectile hit the ground?

Question 4

A company's profit $P$ (in dollars) for selling $x$ units of a product is given by the quadratic equation $P(x) = -2x^2 + 100x - 300$. What is the profit if $10$ units are sold?

Question 5

The height of a rocket launched from the ground is given by $h(t) = -16t^2 + 128t$, where $h(t)$ is the height in feet and $t$ is the time in seconds. When does the rocket reach its maximum height?