Graphing Quadratics in Vertex Form

Front

What is the vertex form of a quadratic function?

Back

Front

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

Back

The variable 'a' determines 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 axis of symmetry in a parabola?

Back

Front

How does changing the value of 'h' in the vertex form affect the graph of the parabola?

Back

Changing 'h' shifts the parabola left or right. If 'h' increases, the parabola shifts to the right; if 'h' decreases, it shifts to the left.

Front

How does changing the value of 'k' in the vertex form affect the graph of the parabola?

Back

Changing 'k' shifts the parabola up or down. If 'k' increases, the parabola shifts up; if 'k' decreases, it shifts down.

Front

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

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards. It represents the maximum or minimum value of the function.

Front

What happens to the graph of a parabola when 'a' is a large positive number?

Back

When 'a' is a large positive number, the parabola becomes narrower, indicating that it rises or falls more steeply.

Front

What happens to the graph of a parabola when 'a' is a small positive number?

Back

When 'a' is a small positive number, the parabola becomes wider, indicating that it rises or falls more gradually.

Front

What is the effect of a negative 'a' value on the parabola?

Back

A negative 'a' value reflects the parabola across the x-axis, making it open downwards instead of upwards.

Front

If a parabola has a vertex at (2, -3), what is the equation of its axis of symmetry?

Back