Vertex Form of a Quadratic Function

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What does the 'a' in the vertex form y = a(x - h)² + k represent?

Back

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

Front

How do you find the vertex from the vertex form y = a(x - h)² + k?

Back

The vertex is found at the point (h, k).

Front

What is the axis of symmetry in the vertex form y = a(x - h)² + k?

Back

The axis of symmetry is the vertical line x = h.

Front

If a quadratic function opens upwards, what can you say about the value of 'a'?

Back

If the quadratic function opens upwards, the value of 'a' is positive.

Front

What is the vertex of the function y = (x + 2)² - 4?

Back

The vertex is (-2, -4).

Front

What is the vertex of the function y = -3(x - 1)² + 5?

Back

The vertex is (1, 5).

Front

How can you determine if a quadratic function has a minimum or maximum value?

Back

If 'a' is positive, the function has a minimum value at the vertex. If 'a' is negative, it has a maximum value at the vertex.

Front

What is the effect of changing 'h' in the vertex form y = a(x - h)² + k?

Back

Changing 'h' 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 'k' in the vertex form y = a(x - h)² + k?

Back

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