Horizontal shifts in linear equations can really change where the graph is located on the coordinate plane.
When you have an equation like ( y = mx + b ), you can shift it left or right by changing the ( x ) value.
Here’s how it works:
Right Shift: If you want to move the graph to the right by ( h ) units, you change ( x ) to ( (x - h) ). So, the new equation will be ( y = m(x - h) + b ). This moves every point on the graph to the right.
Left Shift: Now, if you want to move it left by ( h ) units, you change ( x ) to ( (x + h) ). The equation then becomes ( y = m(x + h) + b ). This shifts every point on the graph to the left.
These shifts help us see how changing equations can change their graphs!
Horizontal shifts in linear equations can really change where the graph is located on the coordinate plane.
When you have an equation like ( y = mx + b ), you can shift it left or right by changing the ( x ) value.
Here’s how it works:
Right Shift: If you want to move the graph to the right by ( h ) units, you change ( x ) to ( (x - h) ). So, the new equation will be ( y = m(x - h) + b ). This moves every point on the graph to the right.
Left Shift: Now, if you want to move it left by ( h ) units, you change ( x ) to ( (x + h) ). The equation then becomes ( y = m(x + h) + b ). This shifts every point on the graph to the left.
These shifts help us see how changing equations can change their graphs!