Quadratic Transformations

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

Back

Vertical stretch or compression.

Front

How did we transform from the parent function to f(x) = -x²?

Back

Reflection over the x-axis.

Front

If f(x) = x², what is g(x) if it is transformed to g(x) = (x - 3)²?

Back

g(x) = (x - 3)² represents a horizontal shift to the right by 3 units.

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

What effect does a negative 'a' value have in the vertex form?

Back

It reflects the graph over the x-axis.

Front

What does a larger absolute value of 'a' indicate in the vertex form?

Back

It indicates a vertical stretch of the graph.

Front

What does a smaller absolute value of 'a' indicate in the vertex form?

Back

It indicates a vertical compression of the graph.

Front

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

Back

It shifts the graph horizontally left or right.