## What are translations of graphs?

## What are translations of graphs?

When you move a graph horizontally or vertically, this is called a translation. In other words, every point on the parent graph is translated left, right, up, or down.

## What are the transformations of a graph?

Transformations of Function Graphs | |
---|---|

-f (x) | reflect f (x) over the x-axis |

f (x – k) | shift f (x) right k units |

k•f (x) | multiply y-values by k (k > 1 stretch, 0 < k < 1 shrink vertical) |

f (kx) | divide x-values by k (k > 1 shrink, 0 < k < 1 stretch horizontal) |

**How do you translate a graph to the right?**

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally. g(x) = f (x – k), can be sketched by shifting f (x) k units horizontally.

### What is the rule for translations?

Rules for Translation In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a new shape (called the image). A translation is a type of transformation that moves each point in a figure the same distance in the same direction.

### How do you translate a graph up or down?

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically. g (x) = f (x) + k; can be sketched by shifting f (x) k units vertically.

**What is the translation formula?**

To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

#### How do I translate a figure?

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .