Answer:
<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>
Step-by-step explanation:
f(x) + n - shift a graph of f(x) n units up
f(x) - n - shift a graph of f(x) n units down
f(x + n) - shift a graph of f(x) n units to the left
f(x - n) - shift a graph of f(x) n units to the right
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We have
Convert the equation of g(x) to the vertex formula:
Answer:
<h3>The increase of amplitude would increase distance between the maximum and minimun point of the wave.</h3>
Step-by-step explanation:
We can defined the amplitude of a wave as the height of it, because it's the distance from the maxium point to the minimum point. In other words, it's the longest vertical displacement along the wave.
Additionally, amplitude represents power, when we apply waves to real phenomenons like the sound. So, greater grade of amplitude would represent louder sounds.
Therefore, the increase of amplitude would increase distance between the maximum and minimun point of the wave.
You know that you need two already to make one hexagon. So, if you multiply, or add two four times, 2+2+2+2, you would get eight.
Answer:
Step-by-step explanation:
Given
Required
Simplify
We have:
Open brackets
Collect like terms
Hence:
Answer:
The18th term of the given sequence is -128
Explanation:
To find the 18th term of the sequence:
42, 32, 22, 12, ..., we need to find the nth term of the sequence first.
The nth term of a sequence is given be the formula:
Where a is the first term, and d is the common difference.
Here, a = 42, d = 32 - 42 = -10
To find the 18th terem, substitute n = 18 into the nth term