Quadratic Transformations_Period 2&4

Front

What is a vertical reflection in a quadratic function?

Back

A vertical reflection occurs when the graph of a function is flipped over the x-axis, typically represented by a negative coefficient in front of the quadratic term.

Front

What does a vertical stretch mean in the context of quadratic functions?

Back

A vertical stretch occurs when the graph of a quadratic function is pulled away from the x-axis, making it narrower. This is represented by a coefficient greater than 1 in front of the quadratic term.

Front

How does shifting a graph to the right affect its equation?

Back

Shifting a graph to the right by 'h' units involves replacing 'x' with '(x - h)' in the function's equation.

Front

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

Back

Adding a constant to a quadratic function shifts the graph vertically. For example, y = x^2 + k shifts the graph up by 'k' units if 'k' is positive and down if 'k' is negative.

Front

What does it mean for a quadratic function to be narrower than the parent function?

Back

A quadratic function is narrower than the parent function y = x^2 if it has a coefficient greater than 1 in front of the x^2 term, such as y = 5x^2.

Front

What transformation occurs when the equation of a quadratic function is g(x) = (x - 3)^2?

Back

The graph of the function is shifted to the right by 3 units compared to the parent function y = x^2.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x^2, which is the simplest form of a quadratic function.

Front

How do you identify a vertical compression in a quadratic function?

Back

A vertical compression occurs when the coefficient in front of the x^2 term is between 0 and 1, making the graph wider than the parent function.

Front

What is the effect of a negative coefficient in front of a quadratic function?

Back

A negative coefficient reflects the graph over the x-axis, resulting in a downward-opening parabola.

Front

What does the transformation y = x^2 - 2 represent?

Back

This transformation represents a vertical shift down by 2 units from the parent function y = x^2.