The question cannot be answered without information about the nature of the curve, for example, what degree polynomial (if it is a polynomial).
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To have a parabola with only one x-intercept, the vertex of the parabola must lie on the x-axis. This means the parabola opens either upwards or downwards, depending on the coefficient of the squared term in the equation. If the coefficient is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards. By adjusting the coefficients in the equation of the parabola, you can position the vertex such that there is only one x-intercept.
What is the importance of the x-intercept What is the importance of the x-intercept What is the importance of the x-intercept
Oh honey, the intercept form for a parabola is just a fancy way of saying the equation looks like y = a(x - h)(x - k). The (h, k) represents the coordinates of the vertex, and the 'a' is the same 'a' you see in vertex form - it just tells you if the parabola opens up or down. So there you have it, intercept form in a nutshell. Hope that clears things up for ya!
It is the parabolic function defined by the product (x+1)(x+5), with x intercepts at -1 and -5, y-intercept at (0,5) and a vertex at (-3, -4).
The y-intercept is where the line crosses the y-axis, and the x-intercept is where the line cross the x-axis