The question cannot be answered without information about the nature of the curve, for example, what degree polynomial (if it is a polynomial).
When the vertex lies on the x-axis. For example x = y2, the vertex is at the origin, and the parabola is lying on its side.
What is the importance of the x-intercept What is the importance of the x-intercept What is the importance of the x-intercept
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
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
It depends on the vertex of what!
the vertex of a parabola is the 2 x-intercepts times-ed and then divided by two (if there is only 1 x-intercept then that is the vertex)
When the vertex lies on the x-axis. For example x = y2, the vertex is at the origin, and the parabola is lying on its side.
-2, 6
if it's in the form of ax + bx +c , then to graph it you need to find the roots (intercept ) and its vertex and the y-intercept. to find the roots, you factor it, like this: for example, you have this, x + 8x + 15, you factor to this: ( x + 3 ) ( x + 5). those two numbers ( +3 and +5) , you switch the signs so that they are -3 and -5. those are the roots. To find the y-intercept, in the expression, you make the x equal zero, and whatever number you simplify it to is the y-intercept. to find the vertex, you apply the formula x=-b/ 2a. whatever number you end up with is the x coordinate of the vertex. to find the y coordinate, you simply substitute the x value in the expression and simplify it and whatever you end up with is the y coordinate. you plot that coordinate, which is the vertex. it has to be curved. make it touch the y axis at the y intercept and the x axis at the roots. That's it.
The x-intercept of an equation is any location where on the equation where x=0. In the case of a parabolic function, the easiest way to obtain the x intercept is to change the equation into binomial form (x+a)(x-b) form. Then by setting each of those binomials equal to zero, you can determine the x-intercepts.
The function would be in the form of ax2+c. The axis of symmetry would be the y-axis, or x = 0, because b would be zero. Likewise, the y-intercept is not important, as any value of c will still yield a vertex at the y-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
Vertex = (3, - 2)Put in vertex form.(X - 3)2 + 2X2 - 6X + 9 + 2 = 0X2 - 6X + 11 = 0=============The coefficeint of the squared term is 1. My TI-84 confirms the (4, 3) intercept of the parabola and the 11 Y intercept shown by the function.
2 x 2 x 2 x 89 = 712
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).
712 = 23 x 89