Question

The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent

Answer 1

Answer:

f(x) = (x − 1)2

Step-by-step explanation:

Answer 2

Answer:

  Equation of function,   y = (x-1)²

Step-by-step explanation:

The general formula of a parabola symmetric about x - axis is given by (x-h)²=4a(y-k), where (h,k) is the vertex.

Here (h, k) = (1,0)

So, we have (x-1)²=4a(y-0)

                    (x-1)²=4ay

One point on the parabola is (0,1) since y intercept is 1.

Substituting

         (0-1)²=4 x a x 1

           1 = 4 a

           $a=\frac{1}{4}$

Equation of parabola,

    $(x-1)^2=4*\frac{1}{4} *y\\ \\ (x-1)^2=y\\ \\ y=(x-1)^2$

Equation of function,   y = (x-1)²