Vertex Form Quadratic Equations

Front

What is the vertex form of a quadratic equation?

Back

Front

How do you find the vertex from the vertex form equation?

Back

Front

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

Back

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

Front

What is the effect of changing the 'h' value in the vertex form?

Back

Changing the 'h' value shifts the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

Front

What is the effect of changing the 'k' value in the vertex form?

Back

Changing the 'k' value shifts the graph vertically. If 'k' increases, the graph shifts up; if 'k' decreases, it shifts down.

Front

How do you convert standard form to vertex form?

Back

Front

Back

The vertex of the parabola is (3, 1).

Front

Back

The graph is stretched vertically by a factor of 3, shifted 2 units to the right, and 4 units up.

Front

What does it mean for a parabola to open downward?

Back

Front

If the vertex of a parabola is (0, -2), what is the vertex form of the equation if it opens upwards?

Back