Horizontal Reflection Math
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Reflecting left makes all the input values move to the left of the y axis.
Horizontal reflection math. A horizontal reflection is given by the. Multiplying x by a number less than 1 expands the function. Even though it appears that the negatives shouldn t go under the radical in fact the negative in front of the x means that you take the opposite of all the negative x s which makes them positive. A horizontal reflection has a vertical axis of reflection.
Multiply all outputs by 1 for a vertical reflection. Multiply all inputs by 1 for a horizontal reflection. F x the figure shows reflections of the function. It can be visualized by.
Key points a reflection swaps all of the x x or y y values across the x x or y y axis respectively. A vertical reflection is given by the equation y f x y f x and results in the curve being reflected across. Multiplying x by a number greater than 1 shrinks the function. All horizontal transformations except reflection work the opposite way you d expect.
The new graph is a reflection of the original graph about the x. The new graph is a reflection of the original. Adding to x makes the function go left. Reflecting downward puts all the points below the x axis.
Given a function reflect the graph both vertically and horizontally.
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