The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?
1 answer:
Answer:
<h2>f(x - k) = (x - k)²⇒ k = 5</h2>Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
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Look at the picture.
The graph has been shifted 5 units to the right.
Therefore we have f(x - 5).
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Given:
The function is:
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
Step 1: Substitute .
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Step 4: Substitute .
Therefore, the inverse of the given function is and the graphs of these functions are shown below.
