Quadratics - Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

How does changing the value of 'h' affect the graph of a quadratic function in vertex form?

Back

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

Front

How does changing the value of 'k' affect the graph of a quadratic function in vertex form?

Back

Changing 'k' translates the graph vertically. If 'k' increases, the graph shifts upward; if 'k' decreases, it shifts downward.

Front

Back

The vertex of the function is (3, 5).

Front

Back

Front

Back

It means the entire graph of the function is shifted 7 units downward on the y-axis.

Front

Back

It means the entire graph of the function is shifted 14 units to the left on the x-axis.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How do you identify the direction a parabola opens from the vertex form?

Back

If 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.