# The function f(x) = x is translated such that the function describing the translated graph is g(x) = (x + 5)' + 2. Whereis the point (0, 0) for the function f now located on the function g?

(-5, 2)

Step-by-step explanation:

g(x) = f(x -h) +k

is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).

The translated location of (0, 0) is (-5, 2).

_____

We assume we're to ignore the apostrophe (') in the equation for g(x).

## Related Questions

Suzanne has purchased a car with a list price of $23,860. She traded in her previous car, which was a Dodge in good condition, and financed the rest of the cost for five years at a rate of 11.62%, compounded monthly. The dealer gave her 85% of the listed trade-in price for her car. She was also responsible for 8.11% sales tax on the difference between the list price and trade in price, a$1,695 vehicle registration fee, and a $228 documentation fee. If Suzanne makes a monthly payment of$455.96, what was the trade in price of her original car?

The trade in price of her original car was $11,128.57. ### Prices Given that Suzanne has purchased a car with a list price of$23,860, and she traded in her previous car, which was a Dodge in good condition, and financed the rest of the cost for five years at a rate of 11.62%, compounded monthly, and the dealer gave her 85% of the listed trade-in price for her car, and she was also responsible for 8.11% sales tax on the difference between the list price and trade in price, a $1,695 vehicle registration fee, and a$228 documentation fee, if Suzanne makes a monthly payment of $455.96, to determine what was the trade in price of her original car, the following calculation must be made: • 455.96 x 12 x 5 = 27,357.60 • X x (1 + 0.1162/12)^(12x5) = 27,357.60 • X x 1.009683^60 = 27,357.60 • 1.7828X = 27,357.60 • X = 27,357.60 / 1.7828 • X = 15,345 • 23,860 - 15,345 + (0.0811 x (23,860 - 15,345)) + 1695 + 228 = X • 23,860 - 15,345 + 690.57 + 1695 + 228 = X • 11,128.57 = X Therefore, the trade in price of her original car was$11,128.57.

Explain how to identify if the graph of a relation is a function or not

[see below]

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range.

An x-value in a function must not repeat.

• One way to see if a graph is a function is to use a vertical line test. If the line passes trough the line twice, then it is not a function.
• On a table, check the x-value column or row. If any of the numbers repeat, then it is not a function.
• On a mathematical map, check to see if the arrows from a domain number points to one range value on the other side. If it points to two range numbers, then it is not a function.

Hope this helps.

Need help ASAP What’s the area of a sum

I believe the answer to you question is going to be 33x^2-50x+8.

Hope this helps!!:))
The answer is C.) or the third one

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?28 m3
38 m3
44 m3
48 m3

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

48

Step-by-step explanation:

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) ? 0.]f(x) = 10/x , a= -2f(x) = \sum_{n=0}^{\infty } ______Find the associated radius of convergence R.R = ______

Rewrite as

and recall that for , we have

so that for , or ,

Then the radius of convergence is 2.

The Taylor series for the function f(x) = 10/x, centered at a = -2, is given by the formula  ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence (R) for the series is ∞, which means the series converges for all real numbers x.

### Explanation:

Given the function f(x) = 10/x, we're asked to find the Taylor series centered at a = -2. A Taylor series of a function is a series representation which can be found using the formula f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + .... For f(x) = 10/x, the Taylor series centered at a = -2 will be ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence R is determined by the limit as n approaches infinity of the absolute value of the ratio of the nth term and the (n+1)th term. This results in R = ∞, indicating the series converges for all real numbers x.

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What is the measure of