Answer:
When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>
When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>
Step-by-step explanation:
Part A:
The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k
(h , k) is the vertex of the graph.
So, for the first part, what y = |x + h| is saying is y = |x - (-h)|.
The -h is substituted for h, and negatives cancel out, resulting in x + h.
This translates to the left of the graph.
Part B:
For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.
This translates to the right of the graph.
The answer to the question is b.4in
Answer:

The inverse function is to calculate the number of rides; given the amount paid
Step-by-step explanation:
Given

per ride
Required
Explain the inverse function
First, we calculate the function
Let x represents the number of rides
So:



For the inverse function, we have:

Swap x and y

Make 3y the subject

Make y the subject

Replace y with the inverse function

The above is to calculate the number of rides; given the amount paid
Answer:
w = 5
Step-by-step explanation:
(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1
(Graph, just switch w to x)