Quadratic Transformations

Front

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

Back

Shifts the function left or right.

Front

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

Back

Shifts the function up or down.

Front

What transformation occurs when the equation is reflected over the x-axis?

Back

The graph flips upside down.

Front

How does a positive 'a' value affect the graph of a quadratic function?

Back

It opens upwards.

Front

How does a negative 'a' value affect the graph of a quadratic function?

Back

It opens downwards.

Front

What does a vertical stretch by a factor of 'a' do to the graph?

Back

It makes the graph narrower.

Front

What does a vertical compression by a factor of 'a' do to the graph?

Back

It makes the graph wider.

Front

What transformation is represented by the equation f(x) = a(x - h)² + k?

Back

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

Front

What is the effect of shifting the graph of y = x² to the right by 4 units?

Back

The new equation is y = (x - 4)².

Front

What is the effect of shifting the graph of y = x² up by 4 units?

Back

The new equation is y = x² + 4.