Quadratic Transformations

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x².

Front

How does the graph of y = x² + 2 transform from the parent function?

Back

The graph shifts vertically upwards by 2 units.

Front

What effect does a > 1 have on the graph of f(x) = ax²?

Back

The graph becomes narrower or vertically stretched.

Front

How does the function f(x) = (x + 6)² - 2 transform from the parent function?

Back

The graph shifts horizontally left by 6 units and vertically down by 2 units.

Front

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

Back

The 'h' value shifts the function left or right.

Front

What is the effect of a negative 'a' value in the vertex form of a quadratic function?

Back

The graph reflects over the x-axis.

Front

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

Back

The vertex is given by the point (h, k) in the vertex form f(x) = a(x - h)² + k.

Front

What transformation occurs when you have f(x) = (x - 3)²?

Back

The graph shifts horizontally right by 3 units.

Front

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

Back

The 'k' value shifts the function vertically up or down.

Front

How does the graph of f(x) = -x² transform from the parent function?

Back

The graph reflects over the x-axis.