Graph Transformations

Question 1

What does the transformation y = 2f(x) do?

Answer 1

• Stretches the graph by a factor of 2 in the y-axis.

Question 2

What does the transformation y = f(2x) do?

Answer 2

• Y = fx(2x) is a stretch in the x-direction by the inverse of the scale factor.
• This means y=fx(2x), is a stretch by a scale factor of a 1/2in the x-direction.

Question 3

What does the transformation y = -f(X) do?

Answer 3

• Y = -f(x) causes all of the y-coodinates to become negative, so the graph is flipped in the x-axis.

Question 4

What does the graph transformation y = f(-x) do?

Answer 4

• All of the x coordinates become inverted, so the graph flips in the y-axis.

Question 5

What does the transformation y = f(x+a) do?

Answer 5

• Translate the graph by -a places in the x-direction.
• You do the opposite of the sign in the brackets.

Question 6

What does the transformation y=f(X)+a do?

Answer 6

• Translated the graph by a units, in the y-direction.