Quadratic Transformations

Front

What is the vertex form of a quadratic function?

Back

Front

What does the 'a' value represent in the vertex form of a quadratic function?

Back

The 'a' value represents the vertical stretch or compression of the parabola. If |a| > 1, the graph is vertically stretched (narrower), and if 0 < |a| < 1, it is vertically compressed (wider).

Front

How does a positive 'a' value affect the graph of a quadratic function?

Back

A positive 'a' value opens the parabola upwards.

Front

How does a negative 'a' value affect the graph of a quadratic function?

Back

A negative 'a' value opens the parabola downwards.

Front

Back

Front

What does shifting a graph left or right mean in terms of the 'h' value?

Back

If 'h' is positive, the graph shifts to the right; if 'h' is negative, the graph shifts to the left.

Front

What does shifting a graph up or down mean in terms of the 'k' value?

Back

If 'k' is positive, the graph shifts up; if 'k' is negative, the graph shifts down.

Front

What is the effect of a vertical stretch by a factor of 2 on the graph of a quadratic function?

Back

A vertical stretch by a factor of 2 makes the graph narrower, increasing the steepness of the parabola.

Front

What is the effect of a vertical compression by a factor of 2 on the graph of a quadratic function?

Back

A vertical compression by a factor of 2 makes the graph wider, decreasing the steepness of the parabola.

Front

How do you identify a vertical stretch or compression from an equation?

Back