Question

Which graph matches the equation y+3=2(x+3)?

A (0,3) (-3,-3)
B (0,6) (-3,0)
C (0,-3) (-3,-9)
D (3,3) (0,-3)​

Answer 1

A (0,3) (-3,-3)

Explanation:

A graph will match the equation if both the coordinates points replaced in the equation generate a identity.

When x = -3

`y + 3 = 2(x + 3)`

`y + 3 = 2(-3 + 3)`

`y + 3 = 0`

`y = -3`

So (-3,-3) is part of the graph.

When x = 0

`y + 3 = 2(x + 3)`

`y + 3 = 2(0 + 3)`

`y + 3 = 6`

`y = 3`

So (0,3) is part of the solution.

(-3,-3) and (0,3), so option A.