Graph Transformations

Question 1

Answer 1

translate a units up

Question 2

Answer 2

translate a units left

Question 3

Answer 3

reflect in x axis (y coordinates flip)

Question 4

Answer 4

reflect in y axis (x coordinates flip)

Question 5

y = af(x)

Answer 5

multiply y-values by a.
if a > 1 → stretch vertically (taller).
if 0 < a < 1 → compression vertically (squashed).
example: y = 3x² is a vertical stretch by factor 3.

Question 6

y = f(ax)

Answer 6

multiply x-values by 1/a.
if a > 1 → horizontal compression (narrower).
if 0 < a < 1 → horizontal stretch (wider).
example: y = (2x)² makes the parabola narrower.