Answer:
Reflection across x-axis, horizontal stretch by a factor of 10
and vertical translation up 4 units ⇒ answer (c)
Step-by-step explanation:
* The basic function of tanФ is
# y = tanФ
1- If y = -tanФ ⇒ reflect y over the x-axis
2- If y = tan(-Ф) ⇒ reflect y over the y-axis
3- If y = tan(Ф - k) ⇒ shift y right k units
4- If y = tan(Ф + k) ⇒ shift y left k units
5- If y = tanФ + k ⇒ shift y up k units
6- If y = tanФ - k ⇒ shift y down k units
7- If y = k tanФ ⇒ multiply y-values by k
(k > 1 stretch, 0 < k < 1 compressed vertical)
The scale factor is k
8- If y = tan(kФ) ⇒ divide x-values by k
(k > 1 compressed, 0 < k < 1 stretch horizontal)
The scale factor is 1/k
* Lets solve the problem
∵ y = -tan(1/10)x + 4
* We will use rules number 1 , 5 and 8
∴ Reflect y over the x-axis, shift y up k units and stretch
horizontal by scale factor is 1/k (0 < k < 1)
∴ Reflection across x-axis, horizontal stretch by a factor of 10
and vertical translation up 4 units
