Quadratic Functions

Work with vertex form, factoring, and basic quadratic graphs.

14 questions, free, marked as you go with a worked explanation on every one.

What this covers

What is the vertex x-coordinate of y = (x - 3)² + 4?
Factor: x² - 9
Solve x² - 16 = 0 for the positive value of x.
Which expression factors to (x+1)²?
The graph of y = -x² opens which direction?
What is the vertex y-coordinate of y = (x - 2)² + 7?
Which of these is a quadratic function?
Solve x² + 6x + 9 = 0. What is the value of x? (Hint: the left side is a perfect square.)
What is the discriminant (b² - 4ac) of x² - 4x + 4?
A ball is thrown upward and its height in metres after t seconds is given by h = -5t^2 + 20t + 1.5. What is the maximum height the ball reaches, in metres?
What are the coordinates of the vertex of the parabola shown?
How many x-intercepts does the parabola shown have?
Factor completely: 2x^2 + 7x + 3.
Solve x^2 - 5x - 14 = 0 by factoring. What is the larger of the two roots?