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
[tex]a=\frac{1}{4}[/tex]
Equation of parabola,
[tex](x-1)^2=4*\frac{1}{4} *y\\ \\ (x-1)^2=y\\ \\ y=(x-1)^2[/tex]
Equation of function, y = (x-1)²
