I have two questions, please help.

1. Determine the quadratic function f whose vertex is (2,-1) and passes through (1,1).
f(x)=?
type in form f(x)=ax^2+bx+c
**pleasae show work**

2. Describe for the graph of g(x)=3square root x+2 can be obtained from the graph of f(x)=3square root x
a. shift graph 2 units right
b. shift graph 2 units down
c. shift graph 2 units up
d. shift graph 2 units left

2 answers

over look please
(y+1) = k (x-2)^2

2 = k(1)
k = 2
so
(y+1) = 2(x-2)^2
y+1 = 2(x^2 -4 x + 4) = 2 x^2 -8 x + 8

y = 2 x^2 - 8 x + 7