Reflection Across the x-axis Calculator

Reflection Across the X-Axis Calculator

Reflection Across the X-Axis Calculator



The reflected point is:

Let’s consider the following points for the demonstration:

  1. (2, 4)
  2. (0, 3)
  3. (-3, -1)
  4. (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:

PointOriginal CoordinatesReflected 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:

  1. Enter the coordinates of the point or the equation of the function into the calculator.
  2. If you are reflecting a point (x, y), the reflected point will have the same x-coordinate (x) but a negative y-coordinate (-y).
  3. 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.

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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:

  1. Press the “Y=” key to enter the function editor.
  2. Enter the function using the variable “X” (e.g., Y1 = 2X + 3).
  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:

  1. Graph the original points or function on the coordinate plane.
  2. Apply the reflection rule to each point to find the new coordinates after reflection.
  3. 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:

  1. Power on the calculator by pressing the “ON” button.
  2. Use the arrow keys to navigate the menus and options.
  3. Use the number keys and mathematical operations to perform calculations.
  4. 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).

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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:

  1. Reflection across the x-axis: (x, y) → (x, -y)
  2. Reflection across the y-axis: (x, y) → (-x, y)
  3. Reflection across the origin: (x, y) → (-x, -y)
  4. 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:

  1. Identify the line or axis of reflection (e.g., x-axis, y-axis, y = x line).
  2. 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:

  1. The incident angle is equal to the reflected angle (angle of incidence = angle of reflection).
  2. 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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