Given:
The functions are:
To find:
The function .
Solution:
We have,
We know that,
On substituting the values of given functions, we get
Therefore, the required function is .
Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u
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Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 units? f(x) = 1.3|x| – 2f(x) = 3|x – 2|f(x) = 3/4 |x – 2|f(x) = 4/3 |x| + 2
Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 units? f(x) = 1.3|x| – 2f(x) = 3|x – 2|f(x) = 3/4 |x – 2|f(x) = 4/3 |x| + 2
2 answers:
Answer:
Required function -
Step-by-step explanation:
Given : The parent function and is translated to the right 2 units.
To find : Which absolute value function has a graph that is wider than the parent function?
Solution :
The parent function
with the vertex (0,0)
The parent function is translated to the right 2 units.
Transformation to the right,
f(x)→f(x-b) , the graph of f(x) is shifted towards right by b unit.
Same as the graph f(x) is shifted towards right by 2 unit and form graph of h(x).
If the graph is wider than the parent function then the function must be in the form of,
Where the value of k must be less than of equal to 1. If k is more than 1 then the graph compressed.
So, let it be k=1
Therefore, The required absolute value function is
We plot the graph of both the equations in which translation is shown.
Refer the attached graph below.
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