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3 years ago

What transformations produce the graph of g(x)=- | 3x | from the graph of the parent function f(x)=|x| Select all that apply

Mathematics

2 answers:

miv72 [106K]3 years ago

8 0

Answer:

This would be a reflection over the x-axis and a vertical stretch by a factor of 3.

Step-by-step explanation:

We can identify the shift over the x-axis by looking at the negative in the front.

We can identify the vertical stretch by noting that the variable is being multiplied by 3, which makes the y value go up 3 times as fast.

Kobotan [32]3 years ago

7 0

Answer:

<h2>Horizontal compression by a factor of 3.</h2><h2>Reflection over the x-axis.</h2>

Step-by-step explanation:

The parent function is

$f(x)=|x|$

The transformed function is

$g(x)=-|3x|$

Notice that the transformation involves to multiply the function with -1 and multiply the independent variable by 3.

Remember, if we multiple the independent variable by a number greater than 1, then the function will compress horizontally, that is, in the direction of x-axis.

Additionally, if we multiply the function by a negative number as -1, the function graph will reflect across the x-axis.

The image attached shows these transfomations.

Therefore, the right answers are:

Horizontal compression by a factor of 3.
Reflection over the x-axis.

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An oil drilling company is drilling a hole. The elevation of the bottom of the hole changes by feet each day. After a certain nu

marin [14]

Answer:

option.D

Step-by-step explanation:

each day it changes by $-73\frac{1}{4}$

so for two days , the elevation becomes $-73\frac{1}{4}$ + $-73\frac{1}{4}$

for 3 days : $-73\frac{1}{4}$ + $-73\frac{1}{4}$ + $-73\frac{1}{4}$

so, for n days, $-73\frac{1}{4}$ + ........ n times

= n* $-73\frac{1}{4}$

therefore, for x days, elevation = x* $-73\frac{1}{4}$

as it is given that after certain days this elevation has reached $-366\frac{1}{4}$

so, x* $-73\frac{1}{4}$ = $-366\frac{1}{4}$

3 0

3 years ago

The function fx) =ax-4 will never cross the x-axis if a is positive.<br> A. True<br> B. False

boyakko [2]

Answer:

False because a linear equation always crosses the x axis (unless x is zero, which it isn't in this case).

8 0

3 years ago

Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks

IrinaK [193]

$9 per hour for 14 hours the first week can be found by doing 9 • 14, which equals 126.
In the first week, Erika earned $126.
$9 per hour for 20 hours for the second week can be found by doing 9 • 20, which equals 180.
In the second week, Erika earned $180.
To find the total amount Erika earned in both weeks, add how much she made in week 1 to how much she made in week 2.
126 + 180 = 306
Erika made $306 during these 2 weeks.

6 0

3 years ago

Zigmanuir [339]

Answer:

The weight of the water in the pool is approximately 60,000 lb·f

Step-by-step explanation:

The details of the swimming pool are;

The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet

The depth of the pool = 5 feet

The density of the water in the pool = 60 pounds per cubic foot

From the question, we have;

The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g

The volume of water in the pool = Cross-sectional area × Depth

∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³

Acceleration due to gravity, g ≈ 32.09 ft./s²

∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N

266,196.089 N ≈ 60,000 lb·f

The weight of the water in the pool ≈ 60,000 lb·f

6 0

2 years ago

Which equation is modeled below?

masha68 [24]

Answer:

your answer is b bud... your welcome....

Step-by-step explanation:

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5 0

3 years ago