After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = |x| + 7
First we reflect the function f(x) across the x-axis
Multiply the function by -1
F(x) = -(|x| + 7)
To translated 4 units up add 4 to the function.
g(x) = -(|x| + 7) + 4
Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
Learn more about the function here:
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<span>circle area = </span>πr² ⇒
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
Answer:
a)
, where
.
b)
Step-by-step explanation:
The given sequence is
.
The first term of the sequence is

The second term is 
The common ratio for this sequence can be determined using any two consecutive terms in the sequence.
Using the first two terms, the common ratio is


a) The recursive rule is given by,

, where
.
b) The explicit rule is given by
Four Hundred Ninety two thousand Fifty Three.