Here are the essential concepts you must grasp in order to answer the question correctly.
X-Intercepts
X-intercepts are the points where a graph crosses the x-axis. At these points, the value of y is zero. To find the x-intercepts of a function, you set the function equal to zero and solve for x. In the context of a quadratic function, this often involves factoring or using the quadratic formula.
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Y-Intercepts
Y-intercepts are the points where a graph crosses the y-axis. At these points, the value of x is zero. To determine the y-intercept of a function, you evaluate the function at x = 0. For quadratic functions, this is simply the constant term when the function is expressed in standard form.
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Quadratic Functions
Quadratic functions are polynomial functions of degree two, typically expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants. The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'. Understanding the shape and properties of parabolas is essential for analyzing their intercepts.
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