Which function could be the parent of y = 3|x| ?
A)y = |x|
B)y = 3x
C)y = x3
D)y = 3 + x
B?
ok is C correct?
3|x| = 3 * |x|
The only possible parent function is |x|
To determine the parent function of y = 3|x|, we need to identify the function that this equation is based on before any transformations or modifications are applied.
In this case, the parent function is the simplest and most basic form of the equation. The parent function for an absolute value equation is y = |x|, which represents a V-shaped graph that is symmetric about the y-axis.
Comparing this with the given equation y = 3|x|, we can see that it is obtained by multiplying the absolute value of x by 3. This multiplication causes the entire graph to stretch vertically by a factor of 3, making it three times taller than the parent graph.
Among the options provided, the parent function that corresponds to this stretching is y = |x|. Therefore, the correct answer is option A) y = |x|.