What does reflect over the x-axis mean?

What does reflect over the x-axis mean?

Math Definition: Reflection Over the X Axis A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

How do you reflect over the y =- x-axis?

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). the line y = -x is the point (-y, -x).

Does X reflect over the x or y-axis?

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

What is the rule for the reflection?

Every point on one shape will have its corresponding point at the same distance from the y -axis on the opposite side of the y -axis. A reflection over y -axis generates a figure of the same shape and size as the original, flipped over the y -axis.

What is the formula for reflection over the Y axis?

Move 2 spaces up:h (x) = 1/x+2.

  • Move 3 spaces down:h (x) = 1/x − 3.
  • Move 4 spaces right:h (x) = 1/(x−4) graph.
  • Move 5 spaces left:h (x) = 1/(x+5)
  • Stretch it by 2 in the y-direction:h (x) = 2/x.
  • Compress it by 3 in the x-direction:h (x) = 1/(3x)
  • Flip it upside down:h (x) = −1/x.
  • How do you reflect an equation over the x axis?

    – Graph y = f ( − x) y = f (-x) y =f (−x) – Graph f ( − x) f (-x) f (−x) • f ( − x) f (-x) f (−x) reflection – Or simply: f ( − x) f (-x) f (−x)

    How do you reflect a function across the Y axis?

    Reflections. A function can be reflected about an axis by multiplying by negative one. To reflect about the y-axis, multiply every x by -1 to get -x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x). Putting it all together. Consider the basic graph of the function: y = f(x) All of the translations can be expressed in the form:

    How do you reflect the Y axis?

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