Question

The vertex of the graph of a quadratic function is (3,1) and the y intercept is (0,10) Which of the following is the equation of the function

Answer 1

Formula f(x)=a(x-h)^2+k (h,k) is vertex
Y=a (x-3)^2+1
Plug in y intercept
10=a (0-3)2+1
10=-3^2a+1
10=9a+1
9=9a
A=1
Y=(x-3)2 +1
Y=x2-6x+9+1
Y=x2-6x+10
Hope this is one of your answers

Answer 2

the quadratic function is : f(x) = a(x-3)²+1   find a 
the coefficient of the squared expression      
but ; f(0) = 10
10 = a(0-3)²+1
9a+1=10
a=1
f(x) = (x-3)²+1