After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = |x| + 7

First we reflect the function f(x) across the x-axis

Multiply the function by -1

F(x) = -(|x| + 7)

To translated 4 units up add 4 to the function.

g(x) = -(|x| + 7) + 4

Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4

Learn more about the function here:

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8 0

2 years ago

You deposit $2000 in an account earning 6% interest compounded monthly. How much will you have in the account in 15 years?

Zepler [3.9K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2000\left(1+\frac{0.06}{12}\right)^{12\cdot 15}\implies A=2000(1.005)^{180}\implies A\approx 4908.19$

7 0

4 years ago

Find the coordinates of the image point for S(−11, 2) across y = 1.

horsena [70]

Answer:

(11,0)

Step-by-step explanation:

4 0

2 years ago