1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hunter-Best [27]
3 years ago
6

How is the graph of y=log(x) transformed to produce the graph of y=log(2x)+3

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

  • horizontally compressed by a factor of 2 and translated upward by 3 units.

Step-by-step explanation:

A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.

Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.

The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.

You might be interested in
PLS HELP ME ASAP WITH THIS WHOLE PAGE! THANK YOU SOO MUCH!!
Doss [256]
1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
  All Reals

1b) The function gives no output values below -3, but it gives output values of -3 and all above that. Its range is ...
  y ≥ -3

1c) For values of x less than -1, the function's output is 1. This matches g(x) and s(x). At x=0, the function's output is -3, which only matches g(x). The appropriate choice is ...
  g(x)


2b) The function is only defined for 0 ≤ x < 8. This is its domain.

3) A definition might be ...
y=\left\{ \begin{array}{rcl}x+1 & \mbox{for} & -4\le x \le 1\\-x & \mbox{for} & 1 < x \le 3 \end{array}

6 0
3 years ago
Jody can swim one length of the pool in 3 4ths of a minute.how long will it take jody to swim six lengths of the pool
Ostrovityanka [42]
I believe that it is eight minutes
4 0
3 years ago
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

8 0
3 years ago
A bank offers a 3% annual interest rate for a savings account. Hannah puts $6,000 into an account to save for college. How much
Cloud [144]
(103/100)×6000
=¢6180
8 0
3 years ago
Pls someone help these answers are on chegg so if u have a subscription pls answer these ill make u brainliest ! Below is a tabl
aivan3 [116]

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

3 0
3 years ago
Other questions:
  • Linda and james each write an expression using the following variables a,b and c.
    10·1 answer
  • What is the area of the blue shaded region ?​<br>please help
    9·1 answer
  • Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C
    15·1 answer
  • What is the value of f(3) when f(x) =4x+1
    11·2 answers
  • I NEED HELP NOW PLEASE
    13·1 answer
  • Larry makes sandwiches for lunch every day. He can make 6 sandwiches with every 3 tomatoes he buys. If he bought 9 tomatoes, how
    11·2 answers
  • 5 divided by 34.5 i need to show work pls help
    7·1 answer
  • Can some explain this
    8·1 answer
  • Find the base and height
    8·2 answers
  • Can someone help me please?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!