Transformation Rule Math

To determine the image point when performing reflections rotations translations and dilations use the following rules.

Transformation rule math. Compress it by 3 in the x direction. Exercise this myriad collection of printable transformation worksheets to explore how a point or a two dimensional figure changes when it is moved along a distance turned around a point or mirrored across a line. W x x 5 3 4 x 5 graph. W x 3x 3 4 3x 27x3 12x.

Move 4 spaces right. 180º r x y x y ex. 4 5 4 5 ex 4 5 4 5 270º r x y y x clockwise. This is three units higher than the basic quadratic f x x2.

That is the rule for this transformation is f x. The rule we apply to make transformation is depending upon the kind of transformation we make. Translation reflection and rotation. When one shape can become another using only turns flips and or slides then the two shapes are congruent.

The graph of the original function looks like this. Move 2 spaces up. 90º r x y y x ex. 90º r x y y x clockwise.

Move 3 spaces down. Two shapes are similar when we need to resize for one shape to become another we may also turn flip and or slide. In coordinate geometry problems there are special rules for certain types of transformations. W x x3 4x 2.

270º r x y y x. W x x3 4x 3. 4 5 5 4 ex 4 5 5 4 180º r x y x y clockwise. This means we switch x and y and make x negative.

W x 2 x3 4x 2x3 8x. Encompassing basic transformation practice on slides flips and turns and advanced topics like translation rotation reflection and dilation of figures on coordinate grids these pdf worksheets on transformation. So when one shape can become another using transformation the two shapes might be congruent or just similar. A function transformation takes whatever is the basic function f x and then transforms it or translates it which is a fancy way of saying that you change the formula a bit and thereby move the graph around.

For instance the graph for y x2 3 looks like this. They are reflection rotation translation and dilation. We have already seen that there are four main type of transformations. To see how this works take a look at the graph of h x x2 2x 3.

When rotating a point 270 degrees counterclockwise about the origin our point a x y becomes a y x. W x x 4 3 4 x 4 move 5 spaces left.