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What is the transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|

Answers

Answer 1

Answer:

The transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|

Horizontal Shift: Right 3 Units

Vertical Shift: Up 1 Units

Reflection about the x-axis: Reflected

Vertical Stretch: Stretched

What is Transformation equation ?

Transformation of an equation into another equation whose roots are. reciprocals of the roots of a given equation we replace x→x1. 2.

Given,

Parent function f(x) = |x|

f(x) = - 2 lx - 3| + 1

Assume that f(x) = |x| is y = |x| and,

f(x) = - 2 lx - 3| + 1 is g(x) = - 2 lx - 3| + 1

The transformation from the first equation to the second one can be found by finding a, h, and k

y = a |x−h| + k

find a, h, k in f(x) = - 2lx - 3| + 1

a = -2, h = -3, k = 1

Horizontal shift depends on the value of h,

g(x) = f(x + h) ---- The graph is shifted to the left h units.

g(x) = f(x - h) ---- The graph is shifted to the right h units.

so, h = -3 then horizontal shift will be right 3 units

The vertical shift depends on the value of k,

g(x) = f(x) + k ------- The graph is shifted up k units.

g(x) = f(x) - k -------- The graph is shifted down k units.

so, k = 1 then the vertical shift will be 1 unit up

The sign of a describes the reflection across the x-axis,

−a means the graph is reflected across the x-axis.

Reflection about x-axis is reflected

The value of a describes the vertical stretch or compression of the graph

a > 1, vertical stretch will be narrower

a < 1, vertical stretch will be wider

so, vertical stretch is Stretched

Hence, The transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|

HorizontalShift: Right 3 Units

Vertical Shift: Up 1 Units

Reflection about the x-axis: Reflected

Vertical Stretch: Stretched

The graph is given below ↓

To read more about the Transformation equation.

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Josie bought 750 bags of peanuts for $375 he intends to sell each bag for $.15 more than you paid how much should he charge for each bag

Answers

Step-by-step explanation:

Jose bought 750 bags for $375.00

Each bag cost $375/750= $0.50

He intends to sells them for $0.15 more

He should charge : $0.5 +$0.15=$0.65

CAN SOMEONE HELP PLEASE ASAP!!! ILL MAKE YOU BRAINLIEST

Answers

Answer:

I think the answer is D but I'm not 100 percent sure. I hope this helps

Step-by-step explanation:

I think I took this test before

3. Dan's credit card was lost on a vacation. He immediately reported it missing. The person who found it days later used it, and charged $x worth of merchandise on the card, where x > $200. How much of the $x is Dan responsible for paying?

Answers

The question is an illustration of the Truth in Lending Act, and Dan is responsible for paying $0

Truth in Lending Act

The Truth in Lending Act is simply an act that protects people from unfair charges on their credit cards, especially in case of theft and card misplacement.

The scenarios

From the question, we have the following scenarios

His card got lost
He reported
Someone else saw the card and purchased goods worth over $200

Because Dan reported when his card got lost, he is protected by the Truth in Lending Act (TILA).

Hence, Dan is responsible for paying $0

Read more about the Truth in Lending Act at

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Final answer:

Dan is not responsible for any of the unauthorized charges made on his lost credit card, as he reported it as lost immediately. The maximum amount he could legally be held liable for, per the Fair Credit Billing Act, is $50.

Explanation:

In a scenario where Dan's credit card is lost and reported missing, the responsibility for charged dollars rests on the card issuer, not on Dan. According to the Fair Credit Billing Act (FCBA), the legal limit he's responsible for is $50. However, given that Dan reported the card as lost immediately, he should not be held responsible for any unauthorized charges made.

Learn more about Credit Card Loss Liability here:

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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 150 ounces of a mixture that is 75% salt. How many ounces of each solution should she use?

Answers

Answer:

Solution A: 120 ounces

Solution B: 30 ounces

Step-by-step explanation:

Let's call A the amount of Solution A. Solution A is 70% salt

Let's call B the amount of Solution B. Solution A is 95% salt

The resulting mixture should have 75% salt and 150 ounces .

Then we know that the total amount of mixture will be:

$A + B = 150$

Then the total amount of salt in the mixture will be:

$0.7A + 0.95B = 0.75 * 150$

$0.7A + 0.95B = 112.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.95 and add it to the second equation:

$-0.95A -0.95B = 150 * (-0.95)$