1. Algebra Review
Quadratic Equations — Quiz
Test your understanding of quadratic equations with 5 practice questions.
Practice Questions
Question 1
If the graph of a quadratic function has its vertex at $(h, k)$ and opens downwards, which of the following statements must be true about the coefficient $a$ in the standard form $y = ax^2 + bx + c$?
Question 2
The height of a ball thrown into the air is given by the function $h(t) = -4.9t^2 + 19.6t + 5$, where $h(t)$ is the height in meters and $t$ is the time in seconds. What is the maximum height the ball reaches?
Question 3
Which of the following quadratic equations has roots that are reciprocals of each other?
Question 4
If the graph of the quadratic function $y = x^2 - 8x + k$ touches the x-axis at exactly one point, what is the value of $k$?
Question 5
A quadratic function is given by $f(x) = (x - 3)^2 + 5$. What is the minimum value of the function?