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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.
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CoachOh honey, you want a parabola with just one x-intercept? Well, that's easy peasy lemon squeezy. Just make sure the vertex of your parabola is sitting right on top of that x-intercept. That way, the parabola only touches the x-axis at that one point. Voila, you've got yourself a parabola with a single x-intercept.
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What statement is true about a graph of an inversely proportional relationship there is no x intercept and no y intercept there is only a x intercept there is only a y intercept or there is both x an?
The graph doesn't intersect either axis.
What is an example of an x -intercept?
An x-intercept is the point where a function intersects the x-axis on a Cartesian coordinate plane. For example, if the graph of a parabola is plotted and the graph intersects the x-axis on the coordinate plane, the point(s) where the graph intersects the x-axis are the x-intercepts for that function.
Where does the parabola cross the x axis?
Set y = 0 and solve for x, with a parabola you should get one, two, or no x-axis crossings, it depends on the equation and the location on the x-y axis of the parabola.
Intercept form for parabola?
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!
What is the importance of the 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
