## How do you reflect the x-axis equation?

We can reflect the graph of any function f about the x-axis by graphing **y=-f(x)** and we can reflect it about the y-axis by graphing y=f(-x). We can even reflect it about both axes by graphing y=-f(-x).

**What is a reflection Y =- X?**

Reflection Across Y=-X

When reflecting over the line y=-x, we **switch our x and y, and make both negative**.

**How do you find the reflection of axis?**

Finding the axis of symmetry, like plotting the reflections themselves, is also a simple process. In this case, all we have to do is **pick the same point on both the function and its reflection, count the distance between them, divide that by 2, and count that distance away from one of the graphs**.

**What is reflection in the X and 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**.

**What does reflection across x =- 2 mean?**

When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places. or. Reflecting over any other line. Notice how **each point of the original figure and its image are the same distance away from the line of reflection** (x = –2 in this example).

**What is a reflection over x =- 3?**

A reflection is defined by the axis of symmetry or mirror line. In the above diagram, the mirror line is x = 3. Under reflection, the shape and size of an image is exactly the same as the original figure. This type of transformation is called **isometric transformation**.

**What is the formula for a reflection?**

Reflection over Y = X

Similarly, when a point is reflected across the line y = -x, the x-coordinates and y-coordinates change their place and are negated. Therefore, The reflection of the point (x, y) across the line y = x is (y, x). The reflection of the point (x, y) across the line y = – x is (-y, -x).

**What is a reflection in the axis?**

The image of a figure by a reflection is **its mirror image in the axis or plane of reflection**. For example the mirror image of the small Latin letter p for a reflection with respect to a vertical axis would look like q. Its image by reflection in a horizontal axis would look like b.

**What is 2/3 reflected over the x-axis?**

For example, if a question were to ask a student to reflect the point (-2,3) across the x-axis, all you need to do is change the sign of the opposite axis value, which in this case would be the **y-value**. So the y-value of this point is 3. This is a positive value. If you change the sign to negative you get -3.

**What is 3/4 reflected over the x-axis?**

Examples: (i) The image of the point (3, 4) in the x-axis is the point **(3, -4)**. (ii) The image of the point (-3, -4) in the x-axis is the point (-3, -(-4)) i.e., (-3, 4). (iv) The reflection of the point (9, 0) in the x-axis is the point itself, therefore, the point (9, 0) is invariant with respect to x-axis.

## What is the reflection of (- 4 3 across the x-axis?

Therefore reflection (4,−3) is **(4,3)**

**What does a reflection of Y X look like?**

The line y=x, when graphed on a graphing calculator, would appear as **a straight line cutting through the origin with a slope of 1**. For example: For triangle ABC with coordinate points A(3,3), B(2,1), and C(6,2), apply a reflection over the line y=x.

**What type of reflection is Y X?**

y = x Reflection: What Is It? The reflection is a type of reflection on the Cartesian plane where the pre-image is reflected with respect to the line of reflection with an equation of . Imagine a diagonal line passing through the origin, reflection occurs when a point or a given object is reflected over this line.

**What is a reflection in math?**

A reflection in mathematics is a type of geometrical transformation, where an object is flipped to create a mirror or congruent image. The bisector of the plane is known as the definition on the line of reflection, and it is perpendicular to the preimage and image.