Quadratic Transformations

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x².

Front

How does the graph of f(x) = x² - 4 transform from the parent function?

Back

The graph shifts down 4 units.

Front

What transformation occurs in the function y = x² + 2?

Back

The graph shifts up 2 units.

Front

What is the effect of adding a constant to a quadratic function?

Back

Adding a constant shifts the graph vertically.

Front

How does the graph of y = x² + 8 transform from the parent function?

Back

The graph shifts up 8 units.

Front

If g(x) = (x - 3)², how does it transform from the parent function?

Back

The graph shifts right 3 units.

Front

What does the negative sign in f(x) = -x² indicate about the graph?

Back

It reflects the graph over the x-axis.

Front

What transformation occurs when a quadratic function is written as g(x) = (x + 3)²?

Back

The graph shifts left 3 units.

Front

What is the effect of a coefficient greater than 1 in front of x² in a quadratic function?

Back

It makes the graph narrower.

Front

What happens to the graph of f(x) = x² when the function is transformed to f(x) = 2x²?

Back

The graph becomes narrower by a factor of 2.