Transformations of Quadratic Functions

Front

What is the range of a quadratic function that opens downwards with a vertex at (h, k)?

Back

Front

What is the vertex form of a quadratic function?

Back

Front

What transformation occurs when you add a constant to the function f(x)?

Back

This results in a vertical translation of the graph.

Front

What transformation occurs when you subtract a constant from the variable x in f(x)?

Back

This results in a horizontal translation of the graph.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts, also known as zeros, are the points where the graph intersects the x-axis.

Front

How do you determine the direction a parabola opens?

Back

Front

What does the term 'vertical compression' mean in the context of quadratic functions?

Back

Vertical compression occurs when the value of 'a' in the vertex form is between 0 and 1, making the parabola wider.

Front

What does the term 'reflection' mean in transformations of quadratic functions?

Back

Reflection occurs when the coefficient 'a' is negative, flipping the parabola over the x-axis.

Front

What is the effect of a horizontal translation of a quadratic function?

Back

A horizontal translation shifts the graph left or right without changing its shape.

Front

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

Back