![]() What is the rule of reflection? The rule of reflection states that the coordinates of a point (x, y) after reflection over a line or axis are given by the reflection formula. A vertical line has no change in x and an infinite change in y, making the slope undefined. What is the y-axis slope equation? The y-axis has an undefined slope because it is a vertical line. What is an y-axis example? An example of the y-axis is the vertical number line in a Cartesian coordinate system, where the x-coordinate is always 0, and the y-coordinate can take various values. The x-coordinate changes sign, while the y-coordinate remains the same. What is the algebraic rule for the y-axis? The algebraic rule for reflection over the y-axis is (x, y) → (-x, y). For reflection across the origin, the formula is (x, y) → (-x, -y). For reflection over the y-axis, the formula is (x, y) → (-x, y). For reflection over the x-axis, the formula is (x, y) → (x, -y). 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. How do you reflect across Y = 3? To reflect across Y = 3, you apply the reflection rule: (x, y) → (x, 3 – (y – 3)). For example, if the line has a point (2, 3), the reflected point will be (2, -5). How do you reflect a line over Y = -1? To reflect a line over Y = -1, you apply the reflection rule to each point on the line. How do you reflect over y = -4? To reflect over the line y = -4, you apply the reflection rule: (x, y) → (x, -4 – (y – (-4))). How do you reflect over Y = -1? To reflect over the line Y = -1, you apply the reflection rule: (x, y) → (x, -1 – (y – (-1))). For a point (x, y), the reflected point will have coordinates (x, -y). To find the horizontal reflection, you keep the y-coordinate the same and negate the x-coordinate. How do you find the horizontal reflection? A horizontal reflection is a reflection over the x-axis, not the y-axis. The x-coordinate of each point changes sign, while the y-coordinate remains the same. What does it mean when reflection is about the y-axis? When the reflection is about the y-axis, it means that each point is flipped across the y-axis, which acts as the line of symmetry. Is vertical reflection over the y-axis? Yes, the reflection over the y-axis is a vertical reflection because it involves a flip across a vertical line (the y-axis). ![]() It is a vertical line that intersects the x-axis at x = 0. ![]() What is the equation of the y-axis? The equation of the y-axis is x = 0. ![]() What is the rule for the reflection ry axis xy → xy? The rule for the reflection across the y-axis is (x, y) → (-x, y). How do you reflect over Y = -2? To reflect over the line Y = -2, you apply the reflection rule: (x, y) → (x, -2 – (y – (-2))). It means that each point’s x-coordinate remains the same, but the y-coordinate changes sign. What is a horizontal reflection over the y-axis? A horizontal reflection over the y-axis is a transformation that flips a shape or point horizontally across the y-axis. What is the formula for reflection over Y? The formula for reflection over the y-axis is (x, y) → (-x, y). For a point (x, y), the reflected point will have coordinates (-x, y). How do you find the reflection over the y-axis? To find the reflection over the y-axis, you keep the x-coordinate the same and negate the y-coordinate. On the other hand, to draw the graph of y = f((1/3)x), take each point on the graph of f and multiply its x-value by 3, keeping the same y-value.Reflection Over the Y-Axis Calculator Reflection Over the Y-Axis Calculator Enter the x-coordinate of the point: Enter the y-coordinate of the point: Calculate Reflection For example, in the case of y = f(3x), take each point on the graph of y = f(x) and divide its x-value by 3, keeping the same y-value. ![]() Given the graph of y = f(x), to sketch the graph of y = f((1/2)x), simply take each point on the graph of y = f(x) and double its x-value, keeping the same y-value.įollow the same procedures for other scaling factors.Given the graph of y = f(x), to sketch the graph of y = f(2x), simply take each point on the graph of y = f(x) and cut its x-value in half, keeping the same y-value.\) makes sketching the graphs of y = f(2x) and y = f(1/2)x) an easy task. ![]()
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