Question

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation? f(x) = (x + 1)2 + 2 f(x) = (x – 1)2 + 2 f(x) = 2(x + 1)2 + 2 f(x) = 2(x – 1)2 + 2

Answer 1

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