Answer:
g(x) = f(3x) -15
Step-by-step explanation:
Let f(x) be the parent function.
If the function is to be compressed by a factor of 3 horizontally, we must obtain the value f(3) when x=1, for example. We can do that by using 3x as the argument of the function:
g(x) = f(3x)
If its graph is to be shifted downward by 15 units, every value produced by the function must have -15 added to it. That is, the shifted function is ...
g(x) = f(3x) - 15
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The attached graph shows an example function compressed horizontally and vertically shifted.
Answer:
5 more weeks
Step-by-step explanation:
5 more weeks if he already sold 15. 10 more weeks if you exclude the 15 he already sold.
A = first number (larger number)
b = second number (smaller number)
a = 8b
a - b = 70 *
* since a is the larger number and their difference is positive, we want a-b.
plug the first equation into the second to get :
a - b = 70
(8b) - b = 70
8b - b = 70
Your correct answer would be choice #2.
Solution:
Given the triangle ABC as shown below:
To draw the image,
step 1: Determine the coordinates of the vertices of the triangle.
In the above graph,
step 2: Evaluate the new coordinates A'B'C' of the triangle after a dilation centered at the origin with a scale factor of 2.
After a dilation centered at the origin with a scale factor of 2, the iniatial coordinates of the vertices of the triangle are multiplid by 2.
Thus,
step 3: Draw the triangle A'B'C'.
The image of the triangle A'B'C' is as shown below:
Answer:
cot(x) + sec(x)
Step-by-step explanation:
Therefore, the expression equivalent to is cot(x) + sec(x).