Flashcard: Transforming Graphs W2:Q1

Front

What is the effect of f(x+2) on the graph of f(x)?

Back

The graph of f(x) is shifted two units to the left.

Front

What is the parent function of a quadratic equation?

Back

The parent function is f(x) = x².

Front

Describe the transformation of y = f(x) to y = -f(x).

Back

The graph of y = f(x) is flipped vertically across the x-axis.

Front

How does the function f(x) = (x-3)² relate to f(x) = x²?

Back

It represents a horizontal translation three units to the right.

Front

If Bob saves $40 per month starting with $150, what equation represents his savings after x months?

Back

y = 40x + 150.

Front

What does a vertical shift of a graph mean?

Back

It means the graph moves up or down without changing its shape.

Front

What is a horizontal translation in graph transformations?

Back

A horizontal translation shifts the graph left or right along the x-axis.

Front

What happens to the graph of f(x) when you replace it with f(-x)?

Back

The graph is reflected across the y-axis.

Front

What is the effect of multiplying f(x) by -1?

Back

The graph is reflected across the x-axis.

Front

What does the term 'parent function' refer to?

Back

The simplest form of a function in a family of functions.