Cos^2xcos^2x/2 -sin^2(x/2 -pi/4)sin^2x
1 answer:
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Answer:
f(x)=x-6
Step-by-step explanation:
Given : Parent function :
To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Solution:
Parent function :
Shift the given function down by 6 units.
Rule : The graph f(x) shifts down by b units
So, f(x)→f(x)-b
So, Shift the given function down by 6 units.
So, f(x)→f(x)-6
f(x)=x
So, x→x-6
So, the new function is f(x)=x-6
Answer:
The graph of g(x) is wider.
Step-by-step explanation:
Parent function:
New function:
<u>Transformations</u>:
For a > 0
If the parent function is <u>shifted ¹/₄ unit up</u>:
If the parent function is <u>shifted ¹/₄ unit down</u>:
If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:
If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:
Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.
