PLEASE HELP!!! BRAINLiest TO CORRECT ANSWER!!!

Consider the function.

matrenka [14]

The correct options are:

a) g(x) = 8*x - 6

b) g(x) = 2x - 10

c) g(x) = 2x - 14

d) g(x) = 8x - 24

<h3>How to identify each transformation?</h3>

Here we have the function:

f(x) = 2x - 6

The proposed transformations are:

a) Stretch by a factor of 4 along the x-axis.

A horizontal stretch of scale factor k is written as:

g(x) = f(x*k).

Then, in this case, we have:

g(x) = 2(x*4) - 6 = 8*x - 6

b) Shift f(x) 4 units down.

A vertical shift of N units is written as:

g(x) = f(x) + N

A shift of 4 units down is written as:

g(x) = f(x) - 4 = 2x - 6 - 4 = 2x - 10

c) Shift f(x) 4 units right.

An horizontal shift of N units is written as:

g(x) = f(x + N).

For a shift of 4 units to the right, we write:

g(x) = f(x - 4) = 2(x - 4) - 6 = 2x - 8 - 6 = 2x - 14

d) A vertical compression of scale factor 1/4.

A vertical compression of scale factor K is written as:

g(x) = f(x)/K

In this case, we will have:

g(x) = f(x)/(1/4) = 4*f(x) = 4*(2x - 6) = 8x - 24

If you want to learn more about transformations:

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3 0

2 years ago

Make it into a rational

alexgriva [62]

Answer: It might be 4.2

5 0

3 years ago

An ice cream shop owner pays $0.12 per regular cone and $0.23 per waffle cone. Customers are allowed to choose which type of ice

kirill [66]

Answer:

Last week the owner spend $42.32 on waffle cones.

Step-by-step explanation:

Given:

An ice cream shop owner pays $0.12 per regular cone and $0.23 per waffle cone. Customers are allowed to choose which type of ice cream cone they would prefer.

If two thirds of the 276 vibes sold last week were waffle cone.

Now, to find the amount the owner spend on waffle cones last week.

Last week waffle cone sold were = $\frac{2}{3}\ of\ 276.$

$=\frac{2}{3} \times 276\\\\=\frac{552}{3} \\\\=184.$

Last week number of waffle cones sold were = 184.

Price of per waffle cone = $0.23.

Now, to get the owner spend on waffle cones last week we multiply last week number of waffle cones sold were by price of per waffle cone:

$184\times 0.23\\\\=\$42.32.$

Therefore, last week the owner spend $42.32 on waffle cones.

5 0

3 years ago

Read 2 more answers

The perimeter of the base of a pentagonal prism is 25 inches and one of its lateral edges is 4 inches. The lateral area of the p

Nata [24]

Answer:

Lateral area=100 square inches

Step-by-step explanation:

It is given that the perimeter of the base of a pentagonal prism is 25 inches, therefore each sides of the pentagon will be of 5 inches.

Also, one of its lateral edge is 4 inches, therefore each lateral face has area which will be equal to= $5{\times}4$ = $20$ square inches.

Since, there are 5 lateral faces of the pentagonal prism, therefore the lateral area of the prism will be: $5{\times}20$

= $100$ square inches.

8 0

3 years ago

Help please and show the steps

Phantasy [73]

9514 1404 393

Answer:

4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

(2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

r(cos(θ) +i·sin(θ)) or r·cis(θ) or r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

7 0

3 years ago