Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)

Function G Is The Result Of These Transformations On The Parent Sine Function: -vertical Stretch By A

Answers

Answer 1

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;

g(x) = 3·sin(x + π/2) - 4


Related Questions

Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?

Answers

Answer: 15 1/3 or 15.333333

Step-by-step explanation:

what are the first 100000000000000000000 digits of pie

Answers

Answer:

The first 10 digits of pi (π) are 3.1415926535. The first million digits of pi (π) are below, got a good memory? Then recite as many digits as you can in 30 ...

Step-by-step explanation:

1.25 as a fraction is what

Answers

Answer:

5/4

Step-by-step explanation:

Find the area of the trapezoid

Answers

Answer:

18000

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[On putting values]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Determine whether the data in the table can be modeled by a linear equation. Explain.

If possible, write a linear equation that represents y as a function of x

Answers

Answer:

yes, because they're varying in a constante rate

y = -1/2x +3.5


the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.

Answers

Using the histogram, the mean of the data-set is estimated to be of 31.

The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.

In this problem, the intervals and relative frequencies are:

The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].

Hence, the mean is:

[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]

For more on mean of histograms, you can check https://brainly.com/question/24651197

What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now

Answers

Answer:

-4

Step-by-step explanation:

y=3x - 1                      x= -1

y = 3(-1) -1

y = -3 -1

y= -4

What is the slope of the line?

Answers

Answer:

(1,1)

Step-by-step explanation:


The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tar?

Answers

Step-by-step explanation:

79×0.08 = 6.32 (tax)

79(price) + 6.32(tax) = 85.32

is the constant rate increasing or deceasing

Answers

Increasing most likely
increasing i’m pretty sure

165% of what number is 28

Answers

Answer:

i belive it is 46.2

Step-by-step explanation:

The closest whole number is 17 at 28.05

PLZ HELP DUE TODAY BRAINLIEST AND 100 POINTS


5(2.2y+1)-3
11y+5-y
11y+2

Answers

Answer:

Step-by-step explanation:

Remove the brackets

5*2.2y + 5  - 3

11y + 5 - 3

11y + 2

The answer is the last one.

[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]

Solve in between the brackets

[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+2[/tex]

[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]

3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?

Answers

Answer:

6:7

Step-by-step explanation:

Divide 12 and 14 by 2 to simplify the ratio.

Answer: 6:7

Step-by-step explanation:

The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7

Let f(x) = x2 − 16. Find f−1(x)

Answers

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

The leader of the Protestant Reformation was a German monk called ___.

Answers

Short answer:Martin Luther

Long explanation so Brainly will let me submit that: He started it all with his arguments against the indulgences the Churches gave out and basically started the reformation and led it through to influence others and start the Lutheran’s. Who sought Christianity differently and protested the Catholics.

y = 5x + 1
Table down below
Help!

Answers

Answer:

Answers below

Step-by-step explanation:

-32 -> -7.4

0 -> 1

20 -> 5

what is the midpoint of the segment with endpoints (2,-1) and (-3,4)

Answers

Let M = midpoint of the line segment.

M = [(2 - 3)/2, (-1 + 4)/2]

M = (-1/2, 3/2)

Done.

what triangle does the pythagorean theorem relate to

Answers

Answer:

Right Triangle

Step-by-step explanation:

I hope this helps!

Surya cut a pumpkin into three pieces. He sold two pieces that weighed about 1/2 and 1/3 respectively of the total weight of the pumpkin. If the remaining pumpkin weighed 600g. Which of these will be CLOSEST to the total weight of the pumpkin?

A. 1 KG
B. 3 KG
C. 3.6 KG
D. 4.8 KG

PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡​

Answers

Answer:

b

Step-by-step explanation:

Select all expressions that show the distance between P and Q
DISCLAIMER THERE COULD BE MULTIPLE ANWSERS
A 5−(−8)
B 5+|−8|
C |−8+5|
D 5+(−8)

Answers

Answer:

A and B

Step-by-step explanation:

5-(-8) = 5+ 8= 13 (the distance between -8 and 5)

5+|-8| = 5 +8 = 13

hello, please answer
if
[tex]\frac{a}{b} = \frac{c}{d} = \frac{2}{5}[/tex]
then what is the answer of :
[tex]\frac{a + 3c + 4}{b + 3d + 10}[/tex]

Answers

Step-by-step explanation:

[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]

• Substitute:

[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]

Now simplify the expression.
(2x − 3)(5x + 6)

Answers

Answer:

10x+18

Step-by-step explanation:

2x*5x=10x

-3*6=18

10x+18=

x=1.8

The simplifies expression through foil is 10x^2+7x+18

write a linear function f with given values. ​

Answers

Answer:

given slope of 2 and a y intercept of 0

f(x) = 2x

100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?

Answers

Answer:

$140

Step-by-step explanation:

Total Amount of chocolate = 100 Pounds

Amount of chocolate in one box = 1 1/4 Pounds =  5/4 Pounds

Number of boxes = 100/(5/4) = 80 boxes

Cost of one box = $1.75

Total selling price = 80×1.75 = 140

The total selling price for all the boxes of chocolate is $140

Answer: $140

Step-by-step explanation:

Convert

1 1/4 --> 1.25

Solve

100/1.25= 80

80*1.75= $140

ababccaaadadaddaddaa

Answers

Answer:

ababababababababbbababbbababbababaaaaaabababbababab

Step-by-step explanation:

hru and thank u for this question

Answer:

dsvrg

Step-by-step explanation:

Describe the error in finding the measure of the angle.

Answers

9=+4xbnmn74564 sssss

Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN

Answers

Answer:

B

Step-by-step explanation:

that's my answer hope it helps ✨

The mid segment can be MK or LO or LN.

What is Mid segment?

The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.

Given:

We know that the Midsegment is generally formed  by the mid points of the line.

But, for Mid Segment of LJK we can write

Mid Segment= 1/2 x Triangle Base

                     = 1/2 x JK (or LK or LJ)

                     = MK or LO or LN

Hence, the mid segment can be MK or LO or LN.

Learn more about Mid segment here:

https://brainly.com/question/15381486

#SPJ2

Can someone please help me .....

Answers

Answer:

y-6=3/5(x-6)

Step-by-step explanation:

Jeremy solved 35 problems, which is (5)/(7) of all his homework problems. How many problems are in his homework?
ASAP

Answers

Answer:

49

Step-by-step explanation:

make an equation:

5/7x=35

x=35*7/5

x=7*7

x=49

x is the total amount

please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]

Answers

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>

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