All categories

3 years ago

Write the absolute value equation given the transformations

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

7 0

Answer:

y = - 0.5 | x - 5 | + 2 

Step-by-step explanation:

g(x) = |x|

$1^{st}$ step - shifts right 5 units: g(x + 5) = | x - 5 |

$2^{nd}$ step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

$3^{rd}$ step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

$4^{th}$ step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

You might be interested in

56+8x

Luba_88 [7]

Get the a99 ph0tomath

4 0

2 years ago

At what distance along the central perpendicular axis of a uniformly charged disk of radius 0.600 m is the magnitude of the elec

Vesna [10]

Khrewrftw5elytg00At what distance along the central perpendicular axis of a uniformly charged disk of radius 0.600 m is the magnitude of the electric field equal to one half the magnitude of th

7 0

3 years ago

Whats the answer pls can any body say.....

Natalija [7]

I think your equation is on the paper; it’s 2016 A.D + 544 then you’ll get your answer and which is 2560.

5 0

2 years ago

What is the x-intercept of the line

Serjik [45]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

You decide that you want to purchase a Tesla SUV. You borrow \$95,000 for the purchase. You agree to repay the loan by paying eq

liraira [26]

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}$

$A(t) = 95000(1.005)^{12t}$

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

$14400t = 95000(1.005)^{12t}$

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

5 0

1 year ago