What are the coordinates of the image of the point (2, -4) after a reflection across the x-axis followed by a rotation of 90 degrees counter-clockwise around the origin? (4, 2) (-4, 2) (4, -2) (-4, -2)

Let's start with the reflection.
The original point is (2,-4) and we are told it to reflect across the x axis. We are 4 y values below the x axis. The x value of the new point is still 2. That won't change. The y value must. The new point is (2,4) you should actually draw this much right now.

When you rotate anything 90o, the x and y values interchange so this much of the point is (4,2)

That's not the answer. Then what happens is the x value goes negative. You will wind up in quadrant 2.
(-4,2) <<<<<<< answer.
The second one down is the answer.

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