Transformations of Quadratics

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k

Front

In the vertex form f(x) = a(x - h)² + k, what does the 'a' value do?

Back

Applies vertical stretch or horizontal stretch.

Front

How does the graph of f(x) = x² transform to create the graph of p(x) = x² - 4?

Back

A vertical shift down.

Front

What steps transform the graph y = x² to y = 2(x + 2)² - 5?

Back

Vertical stretch by 2, shifted 2 units left and 5 down.

Front

How does the graph of f(x) = x² transform to create the graph of n(x) = -3x²?

Back

Reflection over the x-axis and a vertical stretch.

Front

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

Back

The horizontal shift of the graph.

Front

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

Back

The vertical shift of the graph.

Front

What effect does a negative 'a' value have on the graph of a quadratic function?

Back

It reflects the graph over the x-axis.

Front

What is the parent function of a quadratic equation?

Back

f(x) = x².

Front

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

Back

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