Graph Transformations

Question 1

f(x)+a

Answer 1

The graph moves up the y axis

Or down if it’s negative a

Question 2

f(x-a)

Answer 2

Moves along the x axis to the right by a amounts

Question 3

f(x+a)

Answer 3

Moves along the x axis to the left by a amounts

Question 4

-f(x)

Answer 4

Reflection in the x axis

XO- outside bracket = reflection in x axis

Question 5

f(-x)

Answer 5

Reflection in the y axis

Question 6

kf(x)

Answer 6

Stretch graph by a scale factor of k
Y values change
X values stay the same

ONLY Y

Question 7

f(kx)

Answer 7

Shrink graph by a scale factor of 1/k
Y values stay the same
X values change

ONLY X
(SOMETHING INSIDE THE BRACKET WITH THE X (eg. (2x) IS SQUISHED IN THE BRACKET
SO GRAPH GETS SQUISHED