FPMS Quadratic Transformations

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k

Front

What transformation occurs when changing y = x² to y = (x-4)²?

Back

Shifted right 4 units

Front

What transformation maps f(x) = x² to g(x) = (x + 4)²?

Back

A translation shifting f(x) 4 units to the left

Front

Describe the transformation of f(x) = x² - 8 compared to the parent function.

Back

Vertical shift down 8 units

Front

If f(x) = x², what is g(x) if it is shifted left 3 units?

Back

g(x) = (x + 3)²

Front

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

Back

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

Front

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

Back

The 'h' value represents the horizontal shift of the graph.

Front

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

Back

The 'k' value represents the vertical shift of the graph.

Front

How does the graph of f(x) = x² compare to f(x) = -x²?

Back

f(x) = -x² is a reflection of f(x) = x² across the x-axis.

Front

What is the parent function of a quadratic equation?

Back

The parent function is f(x) = x².