What is the formula for a reflection over the x-axis?

What is the formula for a reflection over the x-axis?

Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis.

What is the rule for a reflection over 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).

How do you show a reflection over the y-axis in an equation?

Reflection across the y-axis: y = f ( − x ) y = f(-x) y=f(−x) Besides translations, another kind of transformation of function is called reflection. If a reflection is about the y-axis, then, the points on the right side of the y-axis gets to the right side of the y-axis, and vice versa.

What is the reflection of F 3 4 over the x-axis?

Therefore, when a point is reflected in the x-axis, the sign of its ordinate changes. 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).

How do you reflect over Y 3?

The line y = 3 is a horizontal line so we know our reflected point will be (1, y’). The original point (1, 2) is just one unit less (or one unit away below it) from the line y = 3, so our reflected point will be one unit away above it, giving us (1, 4).

What is the equation for the line of reflection?

The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.

What is the Y-Y value at x = 0x = 0?

Multiply − 1 – 1 by − 3 – 3. The final answer is 3 3. The y y value at x = 0 x = 0 is 3 3. Replace the variable x x with 3 3 in the expression. Simplify the result.

How do you find the slope and y-intercept of a graph?

The slope of the line is the value of m m, and the y-intercept is the value of b b. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

How do you graph a line with two points?

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps… Find the x-intercept.

How to simplify the equation 3x + 1 = 0?

Rewrite the equation as 3 x + 1 = 0 3 x + 1 = 0. Subtract 1 1 from both sides of the equation. Divide each term by 3 3 and simplify. Tap for more steps… Divide each term in 3 x = − 1 3 x = – 1 by 3 3. Cancel the common factor of 3 3.