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!
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y = a(x-p)(x-q)
The x intercepts of this function are (p,0) and (q,0)
This form can be derived by factoring the standard form y = ax2 + bx + c or the vertex form y = a(x-h)2 + k
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.
y=2x+4 is in slope intercept form
Slope-Intercept Form: y = -2x +1
The slope intercept form is y=mx+b where m is the slope and b is the y intercept y=2x-8.
y = 1/3x-4 in slope intercept form