What is the image of the point (4, -7) when reflected over the x-axis?

Reflecting over the $x$-axis keeps the $x$-coordinate and changes the sign of the $y$-coordinate: $(x,y)\to(x,-y)$. So $(4,-7)\to(4,7)$, choice F. The point moves straight up to the opposite side of the $x$-axis, at the same horizontal position. Choice G ($(-4,-7)$) which keeps $y$ but negates $x$, a reflection over the $y$-axis. Choice H ($(-4,7)$) negates both coordinates, a rotation of $180^\circ$. Choice J ($(-7,4)$) swaps the coordinates and changes a sign, a reflection over a diagonal line.