Final answer:
A quadratic function is a mathematical function of the form ax² + bx + c, where a, b, and c are constants. The graph of a quadratic function is a parabola, and its solutions can be found using the quadratic formula.
Step-by-step explanation:
A quadratic function is a mathematical function of the form ax² + bx + c, where a, b, and c are constants. It can be written in the general form as f(x) = ax² + bx + c.
The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the value of the coefficient a. The x-intercepts of a quadratic function, also known as its solutions or roots, can be found using the quadratic formula: x = (-b ± sqrt(b² - 4ac))/(2a).
For example, if we have the quadratic equation 4x² - 3x + 2 = 0, we can plug in the values a = 4, b = -3, and c = 2 into the quadratic formula to find the solutions.