Hi I am having trouble with this question.Can anyone help me please?
The graph of f (x)₌√x undergoes a vertical stretch by a factor of k, k›1.The vertically stretched graph would look the same if it had been horizontally compressed by a certain factor. Determine this factor

Question

Hi I am having trouble with this question.Can anyone help me please?
 The graph of f (x)₌√x undergoes a vertical stretch by a factor of k, k›1.The vertically stretched graph would look the same if it had been horizontally compressed by a certain factor. Determine this factor

amistre64 · Answer

i think its 1/k

anonymous · Answer

why can u expalin it?

amistre64 · Answer

maybe i saw that wrong... let me review it

amistre64 · Answer

better examples :)

f(16) = ksqrt(16) = 8 ; k = 2

f(16) = sqrt(16k) = 8
                   16k = 64
                       k =  4


f(4) = ksqrt(4) = 6 ; k = 3

f(4) = sqrt(4k) = 6
                 4k = 36
                   k = 9

these examples suggest that 2k has the same effect as k

amistre64 · Answer

ack .... 2^2 = 4 ;  3^2 = 9

k and k^2 ...

anonymous · Answer

thank you

amistre64 · Answer

youre welcome; I hope you can read thru my lapses in reasoning ;)