Graphing Quadratic Functions in Vertex Form

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

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

Back

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

Front

How do you find the vertex from the vertex form of a quadratic function?

Back

The vertex is given by the point (h, k) in the equation y = a(x - h)² + k.

Front

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

Back

The vertex represents the highest or lowest point of the parabola, depending on whether it opens up or down.

Front

If a quadratic function is in the form y = 2(x - 3)² + 4, what is the vertex?

Back

The vertex is (3, 4).

Front

What does it mean if a parabola opens upwards?

Back

It means that the vertex is the minimum point of the function.

Front

What does it mean if a parabola opens downwards?

Back

It means that the vertex is the maximum point of the function.

Front

How can you determine if a quadratic function opens up or down from its vertex form?

Back

Look at the coefficient 'a': if 'a' > 0, it opens up; if 'a' < 0, it opens down.

Front

What is the vertex of the parabola represented by the equation y = -2(x + 4)² + 5?

Back

The vertex is (-4, 5).

Front

In the equation y = a(x - h)² + k, what do 'h' and 'k' represent?

Back

'h' is the x-coordinate and 'k' is the y-coordinate of the vertex.