Graphs and Transformations 1

Question 1

y = f(x) + a

Answer 1

• translation by moving graph up on y-axis

Question 2

y = f(x+a)

Answer 2

• translation of graph by moving graph left on x-axis

Question 3

y = af(x)

Answer 3

• stretch of the graph by scale factor a in the vertical direction

Question 4

y = f(ax)

Answer 4

• stretch of graph by scale factor 1/a in the horizontal direction

Question 5

y = -f(x)

Answer 5

• reflection of the graph in the x-axis

Question 6

y = f(-x)

Answer 6

• reflection of the graph in the y-axis