The rule of the function g (x) will be;
⇒ g (x) = - x + 3
What is mean by Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
g (x) is the indicated transformation of f (x).
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Now,
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Since, g (x) is the indicated transformation of f (x).
So, g (x) = f (x + 2)
Hence, We get;
g (x) = - (x + 2) + 5
= - x - 2 + 5
= - x + 3
Thus, The rule of the function g (x) will be;
⇒ g (x) = - x + 3
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Definition: <span>The square root of a number is another number, which on multiplying with itself, will give the original number.
</span>
Every positive number has two square roots. One square root is positive, while the other is exactly same, but negative. The positive square root of a number is called its principle square
root. For example, 10 and -10 are the two square roots of 100, but 10 is
called the principle square root.
Hence e<span>very positive number has two square roots , a principal square root and its opposite negative.</span>
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The property applied is the associative property
<h3>Algebraic properties</h3>
There are several algebraic properties in mathematics; each of which have their own applications
Some of these properties are:
- Commutative
- Distributive
- Associative
- Identity
The mathematical expression is given as:
And it is calculated as follows:
The property applied above is the associative property
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Answer:
do you
Step-by-step explanation:
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