Practice Quadratic Functions in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A quadratic function is a polynomial function of degree 2, written as f(x) = ax^2 + bx + c with a \neq 0, whose graph is a U-shaped curve called a parabola that opens upward when a > 0 or downward when a < 0.
The path of a thrown ball — rising then falling — traces a parabola opening downward.
Example 1
easyFind the vertex of f(x) = x^2 - 6x + 8.
Example 2
mediumDoes the parabola g(x) = -2x^2 + 4x + 1 open upward or downward? Find its maximum value.
Example 3
mediumFind the vertex and axis of symmetry of f(x) = 2x^2 - 8x + 3.
Example 4
easyFind the y-intercept of f(x) = 3x^2 - 2x + 5.
Example 5
mediumFind the zeros of f(x) = x^2 - 4x - 5.