If the point (2, 3) is on the graph of y = ƒ(x), what point must be on the graph of y = -ƒ(x)? *hint: reflection about the x-axis

Question

Option 1: (-2, 3)
Option 2: (2, -3)

Answer 1

If the point \((2, 3)\) is on the graph of \(y = ƒ(x)\), it means that \(ƒ(2) = 3\).

For the graph of \(y = -ƒ(x)\), every point on the graph of \(y = ƒ(x)\) will be reflected over the x-axis. This means that the y-coordinate will be negated.

Therefore, the corresponding point on the graph of \(y = -ƒ(x)\) will be \((2, -3)\).

So, the correct option is: Option 2: (2, -3).