Question

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Assume the graph of a function of the form y = ycos(k(x - b)) is given below. Which of the following are possible values for a, k, and b?

Answer 1

hi again....

Answer 2

Hello (:

Answer 3

the answer is b...

Answer 4

Really okay thank you I hope get it right...

Answer 5

'a' tells you how much the graph is streched in y-axis
'k' tells you how much the graph is streched in x-axis
'b' tells you how much the graph is moved in x-axis

Answer 6

Okay I need to take note of that lol

Answer 7

It was actually A but its okay (:

Answer 8

sorry

Answer 9

my mistake...haha..

Answer 10

the original graph is y = cos (x)
the original graph never goes above 1 and below -1 in y-axis
since this transformed graph goes up to 4 and -4, the scale factor (a) is 4

Answer 11

the original graph starts at (0,1)
since this transformed graph starts at (0,0), it has been moves to the left by pi/4 therefore the graph is translated (b) by -pi/4

Answer 12

the original graph starts at (0,1), falls and crosses at pi/2, falls, rises and crosses at 3pi/2

the translated graph is streched in the x-axis at a scale factor of 2 (k)