how is the standard form, intercept form, and vertex useful when writing a parabola. (how is each form useful )

The intercept form gives the x-intercepts, y-intercepts, and concavity of the parabola. Vertex form is most useful when graphing, since finding the vertex is much easier. Finally, standard form helps you find concavity and each a, b, and c terms tell different things about the postition of the parabola. Generally, this form is factored into one of the other forms. Hope this helped!

table 3 represents a direct variation function. : )

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)