Vertex form

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the 'a' term in the vertex form indicate?

Back

The 'a' term indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

Back

The vertex is the point (h, k) in the equation.

Front

What transformation does the term (x - h) represent in the vertex form?

Back

The term (x - h) represents a horizontal shift of the graph to the right by 'h' units.

Front

What transformation does the term (y - k) represent in the vertex form?

Back

The term (y - k) represents a vertical shift of the graph up by 'k' units.

Front

Back

This equation reflects over the x-axis, shifts left by 4 units, and shifts up by 3 units.

Front

What does the k term tell you in the vertex form?

Back

The k term indicates the vertical position of the vertex, determining if the parabola opens up or down.

Front

Back

a = 2, h = 1, k = -5.

Front

Back

Vertex: (-2, 1).

Front

How can you tell if a parabola has a maximum or minimum value?

Back

If 'a' is positive, the parabola has a minimum value; if 'a' is negative, it has a maximum value.