2. Polynomial Functions

Quadratic Functions — Quiz

Test your understanding of quadratic functions with 5 practice questions.

Practice Questions

Question 1

Given the quadratic function $f(x) = -3x^2 + 12x - 7$, what is the maximum value of the function?

Question 2

A rectangular field is to be enclosed by $100$ meters of fencing. If the length of the field is $L$ and the width is $W$, which of the following quadratic functions represents the area of the field in terms of its width $W$?

Question 3

To solve the quadratic equation $2x^2 - 8x + 5 = 0$ by completing the square, what is the first step after moving the constant term to the right side?

Question 4

A projectile's height $h(t)$ in feet after $t$ seconds is given by $h(t) = -16t^2 + 96t + 112$. What is the initial height from which the projectile was launched?

Question 5

Which of the following quadratic functions has a vertex at $( -3, 2)$ and opens upwards?