Mathematics High School

The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?

Answers

Answer 1

Answer:

U dry aint put a answer

Step-by-step explanation:

Answer 2

Transformation involves changing the position of a function.

The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \sqrt x}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{f'(x) = -\sqrt x}[/tex]

The rule of translation, 4 units down and 5 units left is:

[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]

So, we have:

[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]

The rule of vertical stretch by a factor of # is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

Hence, the equation of the new function is:

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

Related Questions

The length of a rectangle is 3 times as long as the width. If the perimeter of the rectangle is 1000 meters what are the side lengths?

Answers

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

Identify the domain and range of the relation is the relation a function?

Answers

Answer:

Domain: {2,8,30,46}

Range: {-1,9,16}

Step-by-step explanation:

Yes, it is function because each of the elements of x are related or mapped with only one and unique elements of y. That's why the relation is a function.

I need help finding what x is

Answers

Step-by-step explanation:

using Trigonometry,

sin40°=CB/x

x=CB/sin40°.

hope this helps you.

Answer x=1

Step-by-step explanation;

sin 90 =x

1=x

sorry im not sure of the answer

Insert 5 geometric means between -4 and -62 500

Answers

9514 1404 393

Answer:

Either of ...

{-20, -100, -500, -2500, -12500}{20, -100, 500, -2500, 12500}

Step-by-step explanation:

For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.

Solving this last relation for r gives ...

-4r^6 = -62500

r^6 = 15625

Then r can be either of ...

r = ±15625^(1/6) = ±5

For r = 5, the means are ...

-4·5 = -20, and -100, -500, -2500, -12500

For r = -5, the means are ...

-4(-5) = 20, and -100, 500, -2500, 12500

Geometry questions need some help

Answers

Step-by-step explanation:

8) x=23sin(48) =17.1m

9) x=11cos42=8.2ft

The difference of thirteen and a number.

Answers

Answer:

13-n

Step-by-step explanation:

n represents the number

hihihihihiihhiihihihihiihihih

Answers

Answer:

Step-by-step explanation:

Which sentence best describe multiples of 5

Answers

Multiples of five are the numbers five, 10, 15 and so on, that you get by skipping to every fifth number. to write them, you start with five, then you keep adding five to your last number to get to the next number

First answer is quite reliable tbh

if a/b= (3/7)2 ÷ (9/7)0, then find the value of (b/a)2?
pls answer fast

Answers

[tex]\\ \sf\longmapsto (3/7)2\div (9/7)0[/tex]

Anything multiplied with 0 gives 0

[tex]\\ \sf\longmapsto (3/7)2\div 0[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{b}{a}=\dfrac{1}{\infty}=0[/tex]

[tex]\\ \sf\longmapsto (\dfrac{b}{a})^2=0^2=0[/tex]

simplify the expression -8(-w - 2) =

Answers

Answer:

-16(-8w) i think

Step-by-step explanation:

-8(-w - 2) = 8w+16.

hope this helps you.

please solve this question...

Answers

Answer:

Refer to the attachment

find the product of

Answers

what’s the questionnnn

1/2 × 2/3 × 3/4 × 4/5
=1/5
Please mark brainliest

Need help asap pls pls pls

Answers

Answer:

bqidhiwodxh

Step-by-step explanation:

627e29302990331 e7894094902

27290[

How is email a useful component of online banking?I. Email alerts can be used to warn you before you overdraw your account.II. You can have your bank statements emailed to you, getting them to you faster.III. Only emailed bank statements can be used to support electronically-filed tax returns.a.I onlyb.II onlyc.I and II onlyd.I, II, and III

Answers

Answer:

Step-by-step explanation:

PLS HURRY 30 POINTS!!!
You dont have to fill out every number, just give as many as you can list.

Answers

Answer:

1. X is the midpoint of AG; given

2. X is the midpoint of NR; given

3. AX and XG are congruent; statement 1

4. NX and XR are congruent; statement 2

5. angle AXN and angle RXG are congruent; vertical angles are congruent

6. Triangle ANX and triangle GRX are congruent; make the correspondence A <-> G, X <-> X, N <-> R, and Side-Angle-Side Congruence Theorem.

Step-by-step explanation

Statements Reason

1. angle1 is about angle2 Vertical Angles

2. X is the midpoint of lineAG Given

3. lineAX is about lineGX Definition of midpoint

4. X is the midpoint of line NR Given

5. lineNX is about lineRX Definition of midpoint

6. planeANX is about planeGRX SAS

the width of a rectangular room is 3m shorter than its length . if its perimeter must not exceed 42m , calculate the greatest length the room can have

Answers

The width of a rectangular room is 3 m shorter than its length. If its perimeter must not exceed 42 m, calculate the greatest length that the room can have.

Evaluate the expression for y = 2. Simplify your answer.

4/y=

Answers

=2 all u have to do is divide 4 by 2

Is the following inequality true : 4 <_ 4 ?

Answers

Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

Find the value of x that makes p||q

Answers

Answer:

Step-by-step explanation:

90-50=40... therefor X must equal 20

can someone pls help me with solving one variable expressions pls show your work too so i can understand thanks

Answers

Step-by-step explanation:

Basically, let's represent the amount of money earned in

July with x

and

August with x+90

x+(x+90)=350

2x+90=350

2x=350-90

2x=260

x=260÷2

x=130

So, Wanda earned $130 babysitting in July and in July, 130+90=$220.

Hope this helps!

Question 1 (2 points)
What is the common difference d of the sequence?
-15, -4, 7, 18, 29, ...
• 11
•-11
•12
•-12

Answers

The answer is positive 11

What is 2 6/8 in fraction

Answers

1/3ni who’s your not a

MATH
PLEASE HELP!!!!! ASAP
thank you so much!

Answers

Answer:

a. 53.68

b. 53.53

Step-by-step explanation:

a. Step 1: Approximate the value for [tex]\sqrt{62}[/tex]:

Since [tex]\sqrt{62}[/tex] is close to [tex]\sqrt{64}[/tex] (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.

The expression becomes 6(7.9)+2π

Step 2: Approximate the value for 2π

Since π is approximately 3.14, 2π is approximately 6.28.

The expression becomes 6(7.9)+6.28

Step 3: Use order of operations

6(7.9)+6.28=47.4+6.28=53.68

b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value

[tex]6\sqrt{62} +2\pi =53.5272[/tex]

The approximation 53.68 is decently close to the actual value, so no minor math errors were made.

Answer:

54 and 53.53 see below

Step-by-step explanation:

Estimate the square root first. 7x7 = 49 and 8x8=64 so you can use 8 for your estimate. You can also estimate Pi as 3.

Now you have:

(6 x 8) + 2(3) which is 48 + 6 = 54

Using your calculator you get

47.244 + 6.283 = 53.53 rounded to the nearest hundredth

can someone helo me with this 4^x x 8^x ^+ ^1 = 2⁴

Answers

Answer:

Step-by-step explanation:

65
(3y +2)
I NEEDDDD HELPPPPPPPPPPPPP

Answers

Answer:

195y+130

Step-by-step explanation:

Answer:

= 195y + 130

Step-by-step explanation:

Apply the distributive law a(b + c) =ab + ac

[tex]65\left(3y+2\right)=65\cdot \:3y+65\cdot \:2\\=65\cdot \:3y+65\cdot \:2[/tex]

Simplify:

[tex]65*3y+65*2\\195y+130[/tex]

how to write 175% as a decimal

Answers

you move the decimal 2 spaces to the left 175-> 17.5-> 1.75

So the answer is 1.75 hope this helps <3

Given the function y= {3x+1 if x≥0,x−2 if x<0 }. Find its values for x=−1; 0; 1; 2. Answer: If x = −1, then y = . If x = 0, then y = . If x = 1, then y = . If x = 2, then y = .

Answers

Answer:

If x=-1 then y= -3

If x=0 then y=1

If x=1 then y= 4

If x=2 then y= 7

easy one - giving brainly!

Answers

Answer:

6:9,2:3

Step-by-step explanation:

sorry I Only knew this much

Answer:

well to make life easier

You can always just simplify the given ratio

12:18 is basically 2:3 and we can use that as a base line

so we got

2:3

6:9

12:18

24:36

48: 72

It goes on you can just multiply by 2

Write 840 g as a fraction of 4 kg.

Answers

Answer:

Step-by-step explanation:

840g equals 0.84kg (1000g = 1kg)

(0.84kg/4kg)*(100%) = 21%

A box of 15 cookies costs $9.
What is the cost for 1 cookie?
$_____

Answers

Answer:

15 box of cookies =$9

1 box of cookie = $9/15=$0.6

Answer:

Step-by-step explanation:

9÷15 = 0.6

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