Graph the equation by translating y = |x|.

Mathematics

1 answer:

Tom [10]3 years ago

7 0

It would be graph B since the graph is within the absolute value meaning that the parent graph would have a horizontal shift and since it's + it would move to the left

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lana66690 [7]

Answer: Third option.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is translated "k" units up

If $f(x)-k$ , the function is translated "k" units down.

If $f(x+k)$ , the function is translated "k" units left.

If $f(x-k)$ , the function is translated "k" units right.

In this case you have the following function:

$f(x)=3x+2$

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

$g(x)=3(x+3)-3$