Quadratic Transformations Practice

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k

Front

What is the equation of the graph that has a vertex at (1, -5) and opens upwards?

Back

f(x) = (x - 1)² - 5

Front

Given f(x) = x² - 4, how did we transform from the parent function?

Back

Vertical shift down 4

Front

How did we transform from the parent function y = x² to y = x² + 2?

Back

Vertical shift up 2

Front

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

Back

Shifts the function up or down

Front

What effect does changing 'a' in the vertex form have on the graph?

Back

It affects the vertical stretch or compression and reflection 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).

Front

What transformation occurs when 'h' is positive in the vertex form?

Back

Horizontal shift to the right by 'h' units.

Front

What transformation occurs when 'h' is negative in the vertex form?

Back

Horizontal shift to the left by 'h' units.