Answer: the first one :-)
Step-by-step explanation:
Answer:
D. (x − 8) and (x − 3)
Step-by-step explanation:
The only way a product is zero is if one of the factors is zero. So, a zero of the function will make a factor of the function be zero.
The zero x=3 will make the factor (x-3) = 0.
The zero x=8 will make the factor (x-8) = 0.
The factors are (x-3) and (x-8).
We have to write down some values that we can see from the graph. At x=0, the value is 100. At x=1, the y-value is 150 and at x=2 the graph has a value of a little over 200. We see also that this is an exponential graph, so we might assume that there is a specific ratio from each x-value to the next. We get that this ratio is 150/100=1.5. Hence, the quantity increases by 1.5 or 150% every time we add 1 to the x-coordinate. The 2 first sentences are correct. If an amount increases by 50% after a year, at the end of the year there is 150% of it (we need to add the initial capital which is 100%). Thus the graph here has as x-axis years and as y-axis money. The same concept holds for the 2nd sentence. The 3rd sentence is wrong because the value here is not multiplied but added. This would produce a linear graph. Sentence 4 has the wrong ratio; if that was true, then at x=1 we would have 200 oranges, not 150. For the same reason option 5 is wrong; 150*100=15000, not 150.
we know that
The graph of g(x) is a translation of the function f(x)
so
the vertex of f(x) is the point 
the vertex of g(x) is located 
units above and 
units to the right of the vertex of f(x)
The rule of the translation is
<u>Find the vertex of the function g(x)</u>
the vertex of g(x) is the point 
the equation of the function g(x) in the vertex form is equal to
where
(h,k) is the vertex
substitute the value of the vertex in the equation
<u>the answer is</u>
2x3=6
3x2=6
6 divided by 2=3
6 divided by 3=2
