Question - Transformation of Functions
mathtransformation of functionsfunction transformationhorizontal shift of graphsvertical shift of functions
Solution:
The equation provided suggests a transformation of the base function $$ f(x) $$ applied to produce the new function $$ y $$. The transformation can be described as follows:1. Horizontal shift: The expression $$ (x - 5) $$ indicates that the graph of $$ f(x) $$ is shifted to the right by 5 units. Therefore, $$ B = 5 $$ (right).2. Vertical shift: The $$ +8 $$ at the end of the function indicates that the graph is shifted upwards by 8 units. So, $$ D = 8 $$ (up).There is no indication in the equation of a horizontal stretch/shrink or reflection (which would be indicated by a multiplier in front of the $$ x $$ term inside the function), nor is there a vertical stretch/shrink or reflection (which would be indicated by a coefficient in front of the $$ f(x) $$ term). Thus, we can assume no changes have been made in these aspects. Consequently, $$ A $$ (representing horizontal stretch/shrink and reflection) and $$ C $$ (representing vertical stretch/shrink and reflection) remain unchanged:3. $$ A = 1 $$ (no horizontal stretch/shrink or reflection).4. $$ C = 1 $$ (no vertical stretch/shrink or reflection).Transformations:- A horizontal shift to the right by 5 units.- A vertical shift upwards by 8 units.- No horizontal stretch/shrink or reflection.- No vertical stretch/shrink or reflection.Therefore, your answers will be:A = 1, B = 5, C = 1, D = 8
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com