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Tresset [83]
3 years ago
10

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?

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

The graph of f is shifted left 4 units, vertically shrunk by a factor of \frac{3}{7} and shifted down 10 units.

Step-by-step explanation:

The base graph is f(x)=|x|

The transformed graph is g(x)=\frac{3}{7}|x+4|-10

Let us rewrite g(x) in terms of f(x) to get:

g(x)=\frac{3}{7}f(x+4)-10

This means that f(x) was vertically shrunk by a factor of \frac{3}{7} and shifted  4 units to the left and 10 units down.

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