Which set of data is correct for the quadratic relation f(x) = 5(x - 27)2 - 9?
3
6
A.
B.
C.
D.
Direction parabola opens
upward
downward
upward
downward
Vertex
(27, 9)
(-27,9)
(-27, -9)
(27,9)
Axis of Symmetry
x=27
x = -27
x = -9
x=9
Set A
Set B
Set C
Set D

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is .

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

   ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

    ...(2)

On comparing (1) and (2), we get

, so direction parabola opens upward.

, so vertex of parabola is (27,-9).

So, axis of symmetry is .

2

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3