Question 19 What must be done to the graph of f(x) = |x| to obtain the graph of the function g(x) = 3/7 |x+4|-10?
1 answer:
Answer:
The graph of f is shifted left 4 units, vertically shrunk by a factor of and shifted down 10 units.
Step-by-step explanation:
The base graph is
The transformed graph is
Let us rewrite in terms of
to get:
This means that was vertically shrunk by a factor of
and shifted 4 units to the left and 10 units down.
You might be interested in
Answer:
Step-by-step explanation:
Given function is,
Factors of the numerator = x² - 3x + 2
= x² - 2x - x + 2
= x(x - 2) - 1(x - 2)
= (x - 2)(x - 1)
Therefore, given function will be,
f(x) =
For (x - 2) = 0
For x = 2, denominator will become zero.
Thus for input value x = 2, function will not be defined.
If x ≠ 2, f(x) = x - 1
It's a linear function represented by f(x) = x - 1
Having slope = 1 and y-intercept = -1
And (2, 1) is a hole as shown in the graph.