Answer:
The parent function is 
That Parabola's equation is 
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for <em>all </em>equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.
Answer:
4
Step-by-step explanation:
12 and 14 are not functions cause they fail the horizontal line test!
The min or max of a parabola/quadratic function is the vertex
for
y=a(x-h)²+k
the vertex is (h,k)
so
vertex/min is at (-1,2)
h=-1
k=2
y=a(x-(-1))²+2
y=a(x+1)²+2
find a
given, (2,20) is on the graph
20=a(2+1)²+2
20=a(3)²+2
20=9a+2
minus 2 both sides
18=9a
divide by 9
2=a
y=2(x+1)²+2 is da equation
3rd one
f(x)=2(x+1)²+2