a, h, and k transformations

Front

What does the parameter 'h' represent in transformations of a graph?

Back

The parameter 'h' represents a horizontal shift of the graph. A positive value shifts the graph to the right, while a negative value shifts it to the left.

Front

If h = -6, how does the graph shift?

Back

The graph shifts left 6.

Front

What does the parameter 'k' represent in transformations of a graph?

Back

The parameter 'k' represents a vertical shift of the graph. A positive value shifts the graph up, while a negative value shifts it down.

Front

If k = -2, how does the graph shift?

Back

The graph shifts down 2.

Front

What does the parameter 'a' affect in the transformation of a graph?

Back

The parameter 'a' affects the vertical stretch or compression and the direction of the graph. If 'a' is positive, the graph opens upwards; if negative, it opens downwards.

Front

If a = -1/2, how does the graph open?

Back

The graph opens down and is wider.

Front

If a = 3, how does the graph open?

Back

The graph opens up and is narrower.

Front

What is the effect of a positive 'h' value on the graph?

Back

A positive 'h' value shifts the graph to the right.

Front

What is the effect of a negative 'h' value on the graph?

Back

A negative 'h' value shifts the graph to the left.

Front

What is the effect of a positive 'k' value on the graph?

Back

A positive 'k' value shifts the graph upwards.