The order does not matter. Algebraically we have y=12f(x3). Of our four transformations, (1) and (3) are in the x direction while (2) and (4) are in the y direction. The order matters whenever we combine a stretch and a translation in the same direction.

A glide reflection is a composition of transformations.In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. Therefore, the only required information is the translation rule and a line to reflect over. You also need a line to reflect over.

A glide reflection is just what it sounds like: You glide a figure (that’s just another way of saying slide or translate) and then reflect it over a reflecting line. Or you can reflect the figure first and then slide it; the result is the same either way. The footprints are glide reflections of each other.

The four main transformations are rotation, resizing, reflection, and translation. A glide reflection is a combination of a reflection and a translation. Glide reflections consist of translating a figure by sliding it along a line, then reflecting the figure over an axis of reflection.

You can tell (e.g. by computing the signed area of the triangle) that the transformation f preserves orientation. This rules out reflections and glide reflections. And you can tell it’s no translation since the line AB intersects the line f(A)f(B) in a finite point, so AB‖̸f(A)f(B) therefore it’s no translation either.

The function translation / transformation rules:

1. f (x) + b shifts the function b units upward.
2. f (x) – b shifts the function b units downward.
3. f (x + b) shifts the function b units to the left.
4. f (x – b) shifts the function b units to the right.
5. –f (x) reflects the function in the x-axis (that is, upside-down).

How To Create A Water Reflection In Photoshop

1. Step 1: Open Your Image.
2. Step 2: Unlock The Background Layer And Name It “Photo”
3. Step 3: Duplicate The Layer And Name It “Reflection”
4. Step 4: Convert The “Reflection” Layer Into A Smart Object.
5. Step 5: Add More Canvas Space Below The Photo.

Photoshop Water Reflection Effect

1. Step 1: Duplicate The Background Layer.
2. Step 2: Add More Canvas Space To The Bottom Of The Document.
3. Step 3: Flip The Top Layer Vertically.
4. Step 4: Drag The Flipped Image To The Bottom Of The Document.
5. Step 5: Add A New Blank Layer.
6. Step 6: Fill The New Layer With White.

The water image is the inverted image obtained by turning the object upside down. The top and bottom part of the image will be changed, while the left and right-hand side of the image remains the same.