Question

Give a possible formula for the function shown below. The points are (1,3) and (0,0).

Answer 1

first I am going to find the slope

$\frac{3 - 0}{1 - 0} = 3$

so the slope is 3 and now I am going to put it into point slope form

y-y⬇️1 = 3(x - x⬇️1)

so using (1,3)

y - 3 = 3(x - 1)

in slope intercept (Y = mx + b) for it, it would be

$y = 3x$

Answer 2

⇒The function appears Parabolic ,because trajectory of the function is in the shape of Parabola.

   y²=kx

It passes through (1,3) and (0,0).

⇒3²=k×1

⇒k=9

So,the formula of the function will be

⇒y²=9x