## Reflection Across the X-Axis Calculator

The reflected point is:

Let’s consider the following points for the demonstration:

- (2, 4)
- (0, 3)
- (-3, -1)
- (5, -2)

To find the reflected coordinates after the reflection across the x-axis, we keep the x-coordinate the same and negate the y-coordinate.

Here’s the table showing the original coordinates and the reflected coordinates:

Point | Original Coordinates | Reflected Coordinates (Reflection across the x-axis) |
---|---|---|

P1 | (2, 4) | (2, -4) |

P2 | (0, 3) | (0, -3) |

P3 | (-3, -1) | (-3, 1) |

P4 | (5, -2) | (5, 2) |

In this table, the original coordinates of each point are listed, and then the reflected coordinates after the reflection across the x-axis are shown in the rightmost column. The x-coordinate remains unchanged, while the sign of the y-coordinate is negated to perform the reflection.

## FAQs

**How do you find the reflection across the x-axis on a calculator?** To find the reflection across the x-axis on a calculator, follow these steps:

- Enter the coordinates of the point or the equation of the function into the calculator.
- If you are reflecting a point (x, y), the reflected point will have the same x-coordinate (x) but a negative y-coordinate (-y).
- If you are reflecting a function, use the reflection rule to change the sign of the y-coordinate of each point on the graph.

**How do you reflect over the x-axis?** To reflect a point (x, y) over the x-axis, keep the x-coordinate (x) the same and negate the y-coordinate (-y). For a function, apply the same reflection rule to each point on the graph.

**What is the reflection calculator?** A reflection calculator is a tool or mathematical method used to determine the coordinates of a point after reflecting it over a specific line or axis, such as the x-axis or y-axis.

**What is a reflection across the Y = -x axis?** A reflection across the Y = -x axis is a transformation that swaps the x and y-coordinates of a point. For a point (x, y), the reflected point will have coordinates (-y, -x).

**How to do reflections on TI 84?** To perform reflections on a TI-84 calculator, you can use the reflection rule to calculate the new coordinates of each point after the reflection. Alternatively, you can use graphing features to plot the original and reflected points.

**What does reflection in x-axis look like?** Reflection in the x-axis is a transformation that flips a point (x, y) to a new point (x, -y) across the x-axis. The x-coordinate remains the same, while the y-coordinate changes sign.

**What is the reflection formula in math?** The reflection formula in math is a set of rules to determine the coordinates of a point after reflection over a specific line or axis. For reflection across the x-axis, the formula is (x, y) → (x, -y). For reflection across the y-axis, the formula is (x, y) → (-x, y). For reflection across the origin, the formula is (x, y) → (-x, -y).

**What is the rule for the reflection y axis xy → xy?** The rule for reflection across the y-axis is (x, y) → (-x, y). The x-coordinate changes sign, while the y-coordinate remains the same.

**What is the equation of the x-axis?** The equation of the x-axis is y = 0. It is a horizontal line that intersects the y-axis at y = 0.

**What is the 3 rule of reflection?** The 3 rule of reflection refers to a rotation of 180 degrees around the origin. For a point (x, y), the reflected point will have coordinates (-x, -y).

**How to do functions on TI-84 Plus?** To graph functions on a TI-84 Plus calculator, follow these steps:

- Press the “Y=” key to enter the function editor.
- Enter the function using the variable “X” (e.g., Y1 = 2X + 3).
- Press the “GRAPH” key to plot the function on the graph screen.

**How to do reflection in graphing?** To do a reflection on a graph, follow these steps:

- Graph the original points or function on the coordinate plane.
- Apply the reflection rule to each point to find the new coordinates after reflection.
- Plot the new reflected points on the same graph.

**How do you use a TI-84 Plus CE calculator?** To use a TI-84 Plus CE calculator, follow these basic steps:

- Power on the calculator by pressing the “ON” button.
- Use the arrow keys to navigate the menus and options.
- Use the number keys and mathematical operations to perform calculations.
- Access advanced functions by using the appropriate keys or menus.

**Is a reflection across the x-axis negative?** Yes, a reflection across the x-axis is negative for the y-coordinate. For a point (x, y), the reflected point will have coordinates (x, -y).

**Is the x-axis normal to the reflecting?** Yes, the x-axis is normal (perpendicular) to the reflecting surface or line when performing reflections across it.

**When you reflect over the x-axis what changes?** When you reflect over the x-axis, only the sign of the y-coordinate changes. The x-coordinate remains the same.

**What are the 4 rules for reflection?** The four rules for reflection in a Cartesian coordinate system are as follows:

- Reflection across the x-axis: (x, y) → (x, -y)
- Reflection across the y-axis: (x, y) → (-x, y)
- Reflection across the origin: (x, y) → (-x, -y)
- Reflection across the line y = x: (x, y) → (y, x)

**What is the equation of x-axis in slope-intercept form?** The equation of the x-axis is y = 0. In slope-intercept form, the equation represents a horizontal line with no slope (m = 0) and a y-intercept at y = 0.

**How do you find the X and y-axis?** The x-axis is the horizontal line on the coordinate plane, and its equation is y = 0. The y-axis is the vertical line on the coordinate plane, and its equation is x = 0.

**What is the slope of the x-axis?** The slope of the x-axis is zero. A horizontal line, such as the x-axis, has a slope of zero.

**How do you solve reflections?** To solve reflections, follow these steps:

- Identify the line or axis of reflection (e.g., x-axis, y-axis, y = x line).
- Apply the appropriate reflection rule to each point or function to find the new coordinates after reflection.

**What are the 2 basic laws of reflection?** The two basic laws of reflection are:

- The incident angle is equal to the reflected angle (angle of incidence = angle of reflection).
- The incident ray, reflected ray, and normal (line perpendicular to the reflecting surface) all lie in the same plane.

**Can TI-84 Plus solve equations?** Yes, the TI-84 Plus calculator has the capability to solve equations using its built-in equation solver. You can access the equation solver from the “Math” menu.

**Does the TI-84 Plus have a solve function?** Yes, the TI-84 Plus has a built-in equation solver that can solve linear and quadratic equations. You can access the solve function from the “Math” menu.

**What is the function key on TI 84?** On the TI-84 calculator, the function key is typically labeled “Y=” and is used to access the function editor, where you can enter and graph functions.

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