Page 66 - Algebra

Worked Example
Sketch the graph of f(x) = x + 3 and x – 3
Solution:
• For graph of f(x) = x + a
Shift the graph of f(x) = x to the left of origin by –a
• For graph of f(x) = x –a
Shift the graph of f(x) = x to the right of the origin by a
Here a = 3, so shift to the left of origin by –3
f(x) =x
f(x) = x Shift the graph
+3
by -3
Here a = –3, so shift to the right of origin by 3
f(x) = x
f(x) = x
–3
Shift the graph by 3
Page 65 of 177
Algebra I & II