![]() However, not all parabolas have x-intercepts. Even if you're not to find them, these two points can be invaluable for drawing an accurate parabola. X Research source Often, on schoolwork, you'll be asked to find a parabola's x-intercepts (which are either one or two points where the parabola meets the x axis). If necessary, find and plot x intercepts. The coordinates of the vertex in standard form are given by: h = -b/2a and k = f(h), while in vertex form, h and k are specified in the equation. To graph either of these types of equations, we need to first find the vertex of the parabola, which is the central point (h,k) at the "tip" of the curve.Two vertex form equations are f(x) = 9(x - 4) 2 + 18 and -3(x - 5) 2 + 1.Vertex form is so named because h and k directly give you the vertex (central point) of your parabola at the point (h,k). X Research source In this form, the quadratic equation is written as: f(x) = a(x - h) 2 + k where a, h, and k are real numbers and a does not equal zero. For example, two standard form quadratic equations are f(x) = x 2 + 2x + 1 and f(x) = 9x 2 + 10x -8.X Research source In this form, the quadratic equation is written as: f(x) = ax 2 + bx + c where a, b, and c are real numbers and a is not equal to zero. The two forms of quadratic equation are: X Research source If you're doing a homework problem, you'll usually receive the problem in one of these two forms - in other words, you won't be able to choose, so it's best to understand both. You can use either form to graph a quadratic equation the process for graphing each is slightly different. The quadratic equation can be written in three different forms: the standard form, vertex form, and the quadratic form. ![]() Determine which form of quadratic equation you have.
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