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blondinia [14]
3 years ago
8

Please and thank you help me

Mathematics
1 answer:
Art [367]3 years ago
4 0

9514 1404 393

Answer:

  • your graph is correct
  • y = 3x -5

Step-by-step explanation:

The graph shows you the line has a "rise" of 1-(-2) = 3 for a "run" of 2-1 = 1, so the slope is 3/1 = 3.

The y-intercept is seen to be -5, so the equation is ...

  y = mx +b . . . . . where m is the slope (3) and b is the y-intercept (-5)

  y = 3x -5

__

The points and line are plotted correctly, so you already have your graph.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Zigmanuir [339]

Answer:

Shift 4 units down: g(x) = 2x - 10

Stretching f(x) by 4 : g(x) =8x - 24

Shift 4 units left:  g(x) = 2x - 14

Compress by 1/4 units : g(x)  = 8x - 6

Step-by-step explanation:

Given

f(x) = 2x - 6

Required

Match the transformations (See attachment)

<u>Shift 4 units down</u>

Shifting down a function is represented as:

g(x) = f(x) - b

In this case:

b = 4

Substitute expression for f(x) and 4 for b in g(x) = f(x) - b

g(x) = 2x - 6 - 4

g(x) = 2x - 10

<u>Stretching f(x) by 4 </u>

Stretching a function by some units is represented as:

g(x) =b.f(x)

In this case:

b = 4

Substitute expression for f(x) and 4 for b in g(x) =b.f(x)

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

g(x) =8x - 24

<u>Shift 4 units left</u>

Shifting a function to the left is represented as:

g(x) = f(x - b)

In this case:

b = 4

Substitute expression for f(x) and 4 for b in g(x) = f(x - b)

g(x) = f(x-4)

Calculating f(x - 4)

f(x) = 2x - 6

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

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

f(x - 4) = 2x - 14

Hence:

g(x) = 2x - 14

<u>Compress by 1/4 units </u>

This means that the function is stretched by 1/\frac{1}{4}

Compressing a function is represented as:

g(x) =f(bx)

In this case:

b = 1/\frac{1}{4}

b = 1 * \frac{4}{1}

b = 4

Substitute expression for f(x) and 4 for b in g(x) =f(bx)

g(x) =f(4x)

Calculating f(4x)

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

f(4x) = 8x - 6

Hence:

g(x)  = 8x - 6

7 0
2 years ago
Can someone help explain this to me? I’d appreciate it a lot.
gregori [183]
When you put + - and x in the spaces, no matter the order, the answer will be a multiple of 4. Therefore you have to use ÷ to get 2 for the answer. The answer is 4÷4+4÷4=2.
7 0
3 years ago
How could you confirm that a transformation is not a rigid motion by using a protractor
alekssr [168]
A rigid transformation is dilation and inflation
8 0
3 years ago
Find the amount in a continuously compounded account for the following condition. ​Principal, ​$​4000; Annual interest​ rate, 5.
soldi70 [24.7K]
<h3>Answer:  4745.96 dollars</h3>

=======================================================

Explanation:

We have this given info

  • P = 4000 = principal
  • r = 0.057 = annual interest rate in decimal form
  • t = 3 = number of years

Use this to plug into the formula below

A = Pe^{r*t}\\\\A = 4000*e^{0.057*3}\\\\A \approx 4,745.96299608713\\\\A \approx 4,745.96\\\\

You'll need your calculator, and the calculator needs the "e" button.

The "e" refers to the special constant 2.718... which is similar to pi = 3.14...

7 0
2 years ago
You inherit 70000 from a wealthy grandparent
ziro4ka [17]
I think you need to explain more for one to answer it.

Please give more details and I'll try to help (if this is meant to be a question)
7 0
2 years ago
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