Quadratic Transformations : Vertex Form

Front

What is the vertex form of a quadratic function?

Back

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

Front

Describe the transformation of the function f(x) = (x + 3)² - 2.

Back

The graph shifts left 3 units and down 2 units.

Front

What is the vertex of the function f(x) = 4(x - 2)² + 3?

Back

The vertex is (2, 3).

Front

Identify the vertex of the function f(x) = 5(x + 6)² - 7.

Back

The vertex is (-6, -7).

Front

Which of the following is the correct equation for the graph that opens upwards and has a vertex at (-2, -1)?

Back

f(x) = (x + 2)² - 1.

Front

What does the 'a' value in the vertex form f(x) = a(x - h)² + k indicate?

Back

The 'a' value indicates the direction and width of the parabola.

Front

If a > 0 in the vertex form, what direction does the parabola open?

Back

The parabola opens upwards.

Front

If a < 0 in the vertex form, what direction does the parabola open?

Back

The parabola opens downwards.

Front

How does changing the value of 'h' in f(x) = a(x - h)² + k affect the graph?

Back

Changing 'h' shifts the graph left or right.

Front

How does changing the value of 'k' in f(x) = a(x - h)² + k affect the graph?

Back

Changing 'k' shifts the graph up or down.