Answer:
Option d
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
then the graph is compressed vertically by a factor c.
If 
then the graph is stretched vertically by a factor c.
If 
then the graph is reflected on the x axis.
If 
the graph moves vertically upwards.
If 
the graph moves vertically down
In this problem we have the function 
and our parent function is 
therefore it is true that 
and 
Therefore the graph of 
is not stretched vertically and is not reflected. however as then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
<span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.
We sometimes need to expand binomials as follows:
(a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>
<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>
Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.
Pascal's Triangle
We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
You can use this pattern to form the coefficients, rather than multiply everything out as we did above.
The Binomial Theorem
We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.
<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
Answer:
4t - 3 > 37t - 50
Step-by-step explanation:
Step 1: 4t - 3 > 37t - 50
<u>-4t -4t</u>
-3 > 33t - 50
<u>+50 + 50</u>
<u>47</u> > <u>33</u>t
33 33
<em>t < 47/33</em>
