Using translation concepts, the graph of f(x) is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
- Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
- Vertical compression by a factor of 2, due to the division by 2.
- Shift left of 4 units, as x -> x + 4.
- Shift up of 2 units, as y -> y + 2.
Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
200
Step-by-step explanation:
Let market price = y
According to question
160+20% of y=y
160+20/100y=y
160=y-20/100y
160=100/100y-20/100y
160=80/100y
160×100/80=y
y=200
<u>Answer:</u>
when electric chargers build up on objects is called Static Electricity
<u>Explanation:</u>
When electric charges are built up on objects which can happen due to rubbing or pulling apart of some materials, we get positive charges (+) get collected on surface of one material and negative charges (-) on another. These objects stay charged for some time till they aren't transferred elsewhere through interaction.
This electrically charged surfaces creates a shock type effect when touched. This charging of surfaces of objects due to accumulation of electrons or protons is known as static electricity or static discharge.
18.50/100 = 0.1850
0.1850 x 20 = 3.70
18.50 - 3.70 = 14.80
14.80/100 = 0.1480
0.1480 x 6 = 0.888
14.80 + 0.88 = 15.68
the final cost would be $15.68
Answer:
<em>We</em><em> </em><em>can</em><em> </em><em>say</em><em> </em><em>that</em>
<em> </em>3x + x + 8 = 32
<em>So</em><em>:</em><em> </em>
3x + x + 8 = 32
4x = 32 - 8
4x = 24
x = 24/4
<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em>
