Answer:
x = 5*|y|
Step-by-step explanation:
We know that the function is something of the form:
x = |a*y|
We know this because the vertex of the function is in the point where the value of the absolute part is zero, this is when y = 0
and:
x = |a*0| = 0
(0, 0)
Now let's look another point where the graph passes through to find the value of a.
We can see that the graph also passes through the point (5, 1) and (5, -1)
Then, when y = 1, we must have x = 5
Replacing these in our equation we get:
x = |a*y|
5 = |a*1|
5 = |a|
then we can have
Then we can rewrite:
x = |a*y| = |a|*|y| = 5*|y|
x = 5*|y|
The correct option is the last option.
