9514 1404 393
Answer:
y = (x -1)² -16
Step-by-step explanation:
Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)
Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...
y = (x -h)² +k
where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...
y = (x -1)² -16
The two coordinates' x variables are the same, while the y variables change. This means that it is reflected over the x axis. Reflecting over the y axis would cause a change in the x variable, as it would have to move sideways, so this can't be the case since the x variable stays as 4 even after the reflection.
Answer:
Correct option: A -> Horizontal or vertical reflection
Step-by-step explanation:
We can observe that the value of x in f(x) gives a value that is the same value we have in g(x) with the value -x.
That is, x = 1 in f(x) gives the same result as x = -1 in g(x)
So this means that these functions are a reflex of each other in relation to the y-axis, as the x values of one have the same result as (-x) values for the other one.
So the correct option is A: Horizontal or vertical reflection
(It is a horizontal reflection)
