How do you translate a graph to the left or right?
When translating a graph to the left or to the right, it means moving the entire graph to the left or to the right of its current location, which is usually relative to
For example, let's say you have a circle centered at
Now, let's say we translate the circle 5 units to the left. Your circle will now be centered at (-5, 0) with the radius still equal to 2. Its new standard equation would be
This is also true for linear equations.
For example, let's say you have a line with slope 1 with the x-intercept equal to 0. Its equation will be
When we translate the line 3 units to the right, its slope will remain the same, but its x-intercept will now be 3. Its new equation will be