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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Consider, pls, the suggested option (see the attachment).
Using the definition of the Vertical shifts of graphs of the function :
"Suppose c>0,
To graph y=f(x)+c, shift the graph of y=f(x) upward c units.
To graph y=f(x)-c, shift the graph of y=f(x) downward c units"
Again we recall the definition of Horizontal shifts of graphs:
" suppose c>0,
the graph y=f(x-c), shift the graph of y=f(x) to the right by c units
the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "
consider is the parent function.
shifts the graph
upward by 8 units
shifts the graph
downward by 8 units
shifts the graph
left by 8 units
shifts the graph
right by 8 units.