In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted? (1 point)

Group of answer choices

Down 5, left pi over 2

Up 5, left pi over 2

Up 5, right pi over 2

Down 5, right pi over 2

Answers

Answer 1

Answer:

The first option:

Down 5, left pi/2.

Step-by-step explanation:

Let's define the translations in a general way.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

if N is positive, the shift is to the left.

if N is negative, the shift is to the right.

Vertical shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards.

If N is negative, the shift is downwards.

In this case, we have the function:

f(x) = 6*Sin(2*x + π) - 5

Where the original function was something like:

h(x) = 6*sin(2*x)

Here we can already see the vertical shift is of minus 5 units, so the shift is 5 units down.

then we get:

f(x) = h(x) - 5 =  6*sin(2*x) - 5

Now we can apply a shift  to the left of  π/2 units, so we get:

f(x) = h( x + π/2) - 5 =  6*sin(2*(x +π/2) ) - 5

f(x) =  6*sin(2*x +π ) - 5

Then the correct option is:

Down 5, left pi over 2


Related Questions

Write the equation of a line parallel to the line y = 4x - 3 and passing through the point (0,10).

Answers

Answer:

y=4x + 10

Step-by-step explanation:

Parallel lines always have the same slope. The point that you have is the y-intercept because the x is 0. So now you have both the slope and y- intercept and just need to sub it into the y=mx+b equation

The equation of line passes through the point (0, 10) will be;

⇒ y = 4x + 10

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (0, 10).

And, The parallel line is,

⇒ y = 4x - 3

Now,

Since, The equation of line passes through the point (0, 10).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 4x - 3

m = dy/dx = 4

m = 4

Thus, The equation of line with slope 4 is,

⇒ y - 10 = 4 (x - 0)

⇒ y - 10 = 4x

⇒ y = 4x + 10

Therefore, The equation of line passes through the point (0, 10) will be;

⇒ y = 4x + 10

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

I need helppppp :(((

Answers

The answer is 111 square units. You do this by using the formula
111 square units hope this helped but all you have to do is use the formula for A

10x— 9y = 10
8x+9y=10​

Answers

Answer:

x=10/9

y=10/81

Step-by-step explanation:

In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)

Answers

Answer:

[tex]BD = 30[/tex]

Step-by-step explanation:

Given

[tex]AB = 17[/tex]

[tex]AC = 16[/tex]

See attachment

Required

Find BD

If AC = 16, then:

[tex]AO = 16/2[/tex] i.e. half the diagonal AC

[tex]AO = 8[/tex]

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

[tex]AB^2 = AO^2 + OB^2[/tex]

[tex]17^2 = 8^2 + OB^2[/tex]

[tex]289 = 64 + OB^2[/tex]

Collect like terms

[tex]OB^2 = 289 - 64[/tex]

[tex]OB^2 = 225[/tex]

Take positive square roots of both sides

[tex]OB = 15[/tex]

To solve for BD, we use:

[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD

[tex]BD = 2 * OB[/tex]

[tex]BD = 2 * 15[/tex]

[tex]BD = 30[/tex]

calculate the difference between the two times.
8: 15 am. or pm

3: 30 am or pm.

Answers

Answer:

5:15 pm is the answer for the question

help me please thank you

Answers

Answer:A

Step-by-step explanation:

QUICKK The Johnson family went to a socially distance movie and paid $30 for two adults and two children the modern family went to the same movie and paid 35 for two adults and three children what was the price of an adult ticket

Answers

Answer: adults = $10

Step-by-step explanation:

x = adults

y = children

2x + 2y = 30

2x + 3y = 35

Using the elimination method:

2x + 2y = 30

-2x - 3y = -35 (multiplied by -1, to give 2x -2x = 0)

Solve for y...

2y = 30

-3y = -35

Add together...

-y = -5

Multiply by -1 to give positive value for y...

y = $5

Plug into one of the original equation to find x...

2x + 10 = 30

2x = 20

x = $10

Compute the range of the box and whisker plot. Type a numerical answer in the space provided. DO not type spaces in your answer.

Answers

Answer:

94

Step-by-step explanation:

The range of a dataset is the difference between the maximum and minimum value :

The staring point of the whisker is the minimum = 4

The end point of he whisker is the maximum = 96

The range of the box and whisker plot is Hence,

Minimum = 4

Maximum = 98

Range = 98 - 4

Range = 94

2.
Abus drove 70 miles in 2 hours. What is the unit rate?
d
b
70 miles
35 miles
140 miles
140 miles
1 hour
2 hours
1 hour
4 hours
No

Answers

Answer:

The unit rate is 35 miles per hour

Step-by-step explanation:

−5x+13y=−7
5x+4y=24

Answers

Step-by-step explanation:

-5x + 13y = -75x + 4y = 24

_________________

17y = 17y = 17 __ 17y = 1

What is the measure of Angles are not necessarily drawn to scale,
A
B
С
73
x O

Answers

Answer:

17°

Step-by-step explanation:

m∠x=90-73=17° (∠AOC is right angle)

verify the following identity: sinx+cosx×cotx=cscx​

Answers

Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x

(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.

Which of the following are identities? Check all that apply.

Answers

Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D

Step-by-step explanation:

T////T

im ok at math if its wrong im sorry T^T

Answer:

A, B, C, and D.

Yeah, I bet you didn't see this one coming.

Hope this helps!

Which point has coordinates (-2, 3)?

Answers

Answer: I need a picture to go along with it because I see nothing.

Step-by-step explanation:

Please help will mark brainliest need help ASAP!!

Answers

Step-by-step explanation:

I=P*R*T/100

R= I*100/P*T

so rate= I*100/3000*0.5

= 30000/1500

= 300/15

=20%

pls gimme brainliest I need it

Answer:

R = 20%

Step-by-step explanation:

Given

I = PRT , substitute corresponding values

300 = 3000 R × 0.5

300 = 1500 R ( divide both sides by 1500 )

0.2 = R ( multiply value by 100% ) , that is

R = 0.2 × 100% = 20%

2 and 1/2 divided by 3/8 as a fraction

Answers

Answer:

6 and 2/8 or reduced to 6 and 1/4

Step-by-step explanation:

solve for x: 2x-y=3 if you can show work thanks.

Answers

Answer:

x = 3/2 + y/2

Step-by-step explanation:

:)

X=3+y/2 hope that may be the answer

4/5 divided by 1/3 =

hurry up gamers

Answers

Answer:

2 2/5 or 12/5

Step-by-step explanation:

Decimal form: 2.4

Improper fraction: 12/5

Mixed Fraction/Simplified: 2 2/5

Answer:

12/5 or 2 2/5

Step-by-step explanation:

Someone, Please help asap! :)

Answers

The answer is D I believe

Andrew has a round trampoline with a diameter of 4 yards. What is the circumference of the trampoline?

Answers

You would use this formula for the problem...

(C=2πr) The circumference equals 2 multiplied by pi and radius.

In this problem it says diameter, but the diameter is just twice the length of the radius, so just multiply the radius by 2. Plugin your number.

C=2π(2) since 2 is half of 4, that's your radius.

Your answer is roughly C= 12.57.

You're welcome.

!50 POINTS!

Which number is a solution of the inequality?

6 greater than z left-parenthesis 10 minus z right-parenthesis
A. 0
B. 1
C. 2
D. 3

I'm super confused on this question. Awarding Brainiest for Answer and Step By Step Explanation. Thanks!

Answers

Answer:

A. 0

Step-by-step explanation:

Given inequality:

6 > z(10 - z)

Solution:

6 > 10z - z²z² - 10z + 6 > 0z² - 10z + 25 > 19(z - 5)² > 19z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64

The only number satisfying this inequality is 0.

Correct choice is A

If a pound of ham costs $5.25, what is the approximate cost of 7
ounces?
A. $2.30
B. $36.75
C. $5.25
O D.
D. $2.63

Answers

The answer is B.$36.75

Sooo....

solve 3x + 3/5 equal or > 4/5.

yeah if u dont understand i dont blame ya.

Answers

The answer would be x equal or greater than 1/15

1/5 could be replaced with 0.06

What is volume? USE YOUR WORDS NOT G00GLE"S. (if answer is in a folder or link please dont answer) thank uu ​

Answers

Answer:

Typically, volume is used to measure the capacity of a container/bottle/etc. It is used alongside measurements for liquids, like mL or L.

Step-by-step explanation:

what is the CORRECT answer?

Answers

Answer:

bro use the dang fromula

Step-by-step explanation:

L*W=A divided by 2

what is the area of the triangle in square inches?​

Answers

Answer:

22in.^2

Step-by-step explanation:

Area of a triangle formula is A= b*h* 1/2

(b= base  h= height)

the base is 8

the height is 5 1/2

8*5 1/2

----------

  2

5  1/2 = 5.5

8* 5.5 = 44

44/2 = 22

hi may you help me with 1+1

Answers

Answer:

2

Step-by-step explanation:


1/5 x 5 1/2 =

Can someone help me ?

Answers

Answer:

1/2

Step-by-step explanation:

reduce the numbers with the greatest common factor 5

1/5×5 1/2

1/2

Answer:

this is the answer hope it helps

Write story problem that uses addition and has a solution of 6 (x=6)

Answers

Answer:

Let me give you an example of a segment addition problem that uses three points that asks the student to solve for x but has a solution x = 20.

First, I assumed values for each x, y and z and then manipulated their coefficients to get the total at the end of each equation.

20 + 10 +30 = 60

40 + 0 + 40 = 80

40 + 10 = 50

Then exchangeing these numbers into values and we have the following equation.

x + 2y + 3z = 60

2x + 4z = 80

2x + z = 50

If you will solve them manually by substituting their variables into these equations, you can get

x = 20

y = 5

z = 10

Step-by-step explanation:

The answer could possibly be 0+x=6

What is the axis of symmetry and vertex?
y=-3x2-24x-42

Can someone help me pls

Answers

Answer:

okay can you tell me if the first -3x and second 24x are multiply or are just letters and I than I will post the answer

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