Quadratic Vertex form transformations (Alg 1)

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the parameter 'a' in the vertex form affect?

Back

The parameter 'a' affects the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

How does a horizontal shift occur in the vertex form?

Back

Front

What does a vertical shift in the vertex form represent?

Back

A vertical shift is represented by the value 'k' in the vertex form. It shifts the graph 'k' units up if 'k' is positive and down if 'k' is negative.

Front

Back

The graph shifts left 4 units and down 3 units.

Front

Back

The graph shifts right 2 units and up 5 units.

Front

Back

The negative sign indicates that the parabola opens downwards.

Front

Back

The vertex is at the point (3, 2).

Front

Back

Changing 'a' from 1 to 3 makes the parabola narrower, as it increases the steepness.

Front

Back

The graph translates right 5 units and down 3 units.