Describe the transformation that occurs on a graph when changing an equation from \( f(x)=-|x| \) to \( f(x)=-|x|+4 \). (1 point) The original function shifts vertically down four units. The original function shifts horizontally to the left four units. The original function shifts vertically up four units. The original function shifts horizontally to the right four units.
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When you change the equation from \( f(x)=-|x| \) to \( f(x)=-|x|+4 \), you’re essentially moving the whole graph up by 4 units. The transformation retains the original shape of the graph, which is a downward-opening V, but every point on the graph goes up by four spaces. So if you had a point (0,0) on the original, it would now be at (0,4)! In real-world terms, think of it like raising a billboard. If the sign on the billboard (the graph) originally showed a message (the function) at ground level, and then you hoisted it up by four feet, everyone would need to look a little higher to read that message!