Which of the following tables of values is correct for the equation y = -3 * ^2 ?

The answer is the third table:

x = -2 , y = -12

x = -1 , y = -3

x = 0 , y = 0

x = 1 , y = -3

x = 2 , y = -12

Step-by-step explanation:

∵ y = -3x²

∵ x = -2 ⇒ y = -3(-2)² = -3(4) = -12

∵ x = -1 ⇒ y = -3(-1)² = -3(1) = -3

∵ x = 0 ⇒ y = -3(0)² = -3(0) = 0

∵ x = 1 ⇒ y = -3(1)² = -3(1) = -3

∵ x = 2 ⇒ y = -3(2)² = -3(4) = -12

∴ The answer is the third table

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.