Quadratic Transformations

Front

What is the axis of symmetry in a function?

Back

A vertical line that passes through the vertex and divides the parabola in half.

Front

How does the graph of y = x² differ from y = 1/3x²?

Back

The graph of y = 1/3x² is wider.

Front

What is the axis of symmetry in the function f(x) = (x-1)² + 2?

Back

x = 1.

Front

Identify the vertex of f(x) = -2(x+1)² + 3.

Back

(-1, 3).

Front

Given f(x) = ax², if a > 1, how does the graph transform?

Back

The graph becomes narrower or vertically stretched.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction and width of the parabola.

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

How does changing 'h' in the vertex form affect the graph?

Back

It shifts the graph horizontally.

Front

How does changing 'k' in the vertex form affect the graph?

Back

It shifts the graph vertically.