Question

Y=3∣x+1∣. What is the parent function that matches the description?

a) y=3x
b) y=∣x∣
c) y=3∣x∣
d) y=∣3x∣

Answer 1

The parent function that matches the description y = 3∣x+1∣ is y = 3∣x∣. The number outside the absolute value sign determines the vertical stretch/compression of the graph, while the number inside the absolute value sign determines the horizontal shift.

Step-by-step explanation:

The parent function that matches the description y = 3∣x+1∣ is option c) y = 3∣x∣.

The parent function is the basic form of a function, without any transformations or changes. In this case, the parent function is y = ∣x∣ which represents the absolute value of x. The number inside the absolute value sign determines the slope of the absolute value function.

In the given function, y = 3∣x+1∣, the number outside the absolute value sign (3) determines the vertical stretch/compression of the graph, while the number inside the absolute value sign (+1) determines the horizontal shift.