Question

Determine the points for the graph of the relation

x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)

Answer 1

Option B.

Explanation:

The given relation is

`x=2y^2+6`

At y=-2,

`x=2(-2)^2+6`

`x=2(4)+6`

`x=8+6`

`x=14`

Similarly,

At y=-1,

`x=2(-1)^2+6=8`

At y=0,

`x=2(0)^2+6=6`

At y=1,

`x=2(1)^2+6=8`

At y=2,

`x=2(2)^2+6=14`

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.