Relations and Functions: Quadratics
Characteristics of quadratic functions and solving quadratic equations by factoring and by formula. Completing the square is not required in Mathematics 20-2.
10 questions, free, marked as you go with a worked explanation on every one.
What this covers
- factoring quadratics
- math20 2 quadratic functions
The questions
- For the quadratic function y = x² - 6x + 5, what is the x-coordinate of the vertex?
- Solve x² - 7x + 12 = 0 by factoring. What is the larger of the two roots?
- Use the quadratic formula to solve 2x² + 5x - 3 = 0. What is the positive root?
- How many x-intercepts does the graph of y = x² + 2x + 5 have?
- A quadratic function has zeros at x = -2 and x = 5. Which equation could describe it?
- A ball is kicked and its height in metres after t seconds is h = -4.9t² + 19.6t. At what time, in seconds, does the ball return to the ground?
- A rectangular pen is built against a barn wall, so fencing is needed on only three sides. The farmer has 40 m of fencing. If the two equal sides perpendicular to the barn are each x metres, the enclosed area is A = x(40 - 2x). What value of x, in metres, gives the greatest area?
- What is the range of the quadratic function y = -2(x - 3)² + 7?
- Which equation matches the parabola shown?
- What is the y-intercept of the parabola shown?