Quadratic Effects on Parent Function 6th pd

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 equation y = f(x - 4) transform the parent function?

Back

It shifts the graph to the right by 4 units.

Front

What effect does the coefficient 5 have in the equation f(x) = 5(x + 3)² - 10?

Back

It vertically stretches the graph by a factor of 5.

Front

What transformation does g(x) = -f(x) represent?

Back

It reflects the graph across the x-axis.

Front

In the equation f(x) = -(x + 3)² - 5, does the graph open up or down?

Back

The graph opens down.

Front

What does a positive 'a' value in a quadratic function indicate about the graph's direction?

Back

A positive 'a' value indicates that the graph opens upwards.

Front

What does a negative 'a' value in a quadratic function indicate about the graph's direction?

Back

A negative 'a' value indicates that the graph opens downwards.

Front

How does the term (x + 3)² affect the graph of the parent function?

Back

It shifts the graph to the left by 3 units.

Front

What is the effect of adding a constant outside the squared term in a quadratic function?

Back

It shifts the graph vertically.

Front

What transformation occurs in the equation y = (x - 2)² + 5?

Back

The graph shifts right by 2 units and up by 5 units.