The diagram above shows a family of parabolic curves. The function describing this family has a variable n apart from the usual x and y. The graph of specific parabolas with n=1,n=2 and n=3 are shown. Identify the function representing the family of functions for n
≥
1
?

A
f
(
x
)
=
x
2
+
n

B
f
(
x
)
=
n
x
2

C
f
(
x
)
=
(
x
−
n
)
2

D
f
(
x
)
=
1
n
x
2

E
f
(
x
)
=
−
n
x
2

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )

there are infinitely many solutions.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct