What does it mean to reflect a graph in the y-axis?

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

How do you find the reflection on a graph?

How To: Given a function, reflect the graph both vertically and horizontally.

1. Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.
2. Multiply all inputs by –1 for a horizontal reflection.

What is the rule for reflection over y-axis?

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

What is a reflection in a graph?

Lesson Summary Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other. We can use the following rules to graph reflecting functions over the x and y axes. -f(x) is the graph of f(x) reflected over the x-axis.

What is the rule for Y X?

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

What are the two rules of reflection?

Laws of reflection are: (i) The incident ray, the reflected ray and the normal ray at the point of incidence, lie in the same plane. (ii) The angle of incidence is equal to the angle of reflection.

What does it mean to reflect over Y 1?

Explanation: the line y=1 is a horizontal line passing through all. points with a y-coordinate of 1. the point (3,10) reflected in this line. the x-coordinate remains in the same position.

How do you write a rule for transformations?

The function translation / transformation rules:

1. f (x) + b shifts the function b units upward.
2. f (x) – b shifts the function b units downward.
3. f (x + b) shifts the function b units to the left.
4. f (x – b) shifts the function b units to the right.
5. –f (x) reflects the function in the x-axis (that is, upside-down).