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
Natalija [7]
3 years ago
10

Please help!!! I don’t understand it at all and I need it ASAP!

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

9514 1404 393

Answer:

  \textbf{D.}\quad g(x)=\sqrt{x+6}+4

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

  g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

__

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

  f(x) = √x

  g(x) = f(x+6) +4

  g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.

__

<em>Comment on the graph</em>

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).

You might be interested in
If θ is in Quadrant II and sin θ = √3/2 what is the cos θ?
andrezito [222]
It should be - 3/2 I’m not 100% sure hope you get the question right
3 0
3 years ago
The sum of two numbers is −102. One number is 62 less than the other. Find the numbers.
Allisa [31]

Answer:

x = -20

y = -62

Step-by-step explanation:

Suppose x and y two number and such that :

  • their sum = -102
  • and y is 62 less than x

Which means :

  • x + y = -102
  • x - y = 62

then

  • x + y = -102
  • x = y + 62

then

x + y = (y+62) + y = -102

then

2y + 62 = -102

then

2y = -164

then

y = -164/2 = -82

therefore

x = y + 62 = -82 + 62 = -20

3 0
3 years ago
Given f(x)=3x2−5x−2 .<br><br> What is the value of f(−23) ?
Sonja [21]

f(x) =  {3x}^{2}  - 5x - 2 \\ f( - 23) = ... \\ f( - 23) \: means \: x =  - 23 \\ so \: f( - 23) =  {3( - 23)}^{2}  - 5( - 23) - 2 \\  = 3(529)  + 115 - 2 \\  = 1700
3 0
3 years ago
What is the quotient written in scientific notation?
sukhopar [10]
A. 2.4×10^−10
.................
6 0
3 years ago
Add please -35.25+(8.5)
givi [52]

Answer:

Hello the answer is -23.75

plus +minus=Minus so we will minus it

5 0
3 years ago
Read 2 more answers
Other questions:
  • Select the correct answer.
    8·1 answer
  • The function f(x) = –2(x – 10)(x – 200) represents a company's monthly profit as a function of the number of items sold, x. What
    14·1 answer
  • What is a binomial? followed with an example?
    10·2 answers
  • What number multiplied by itself 2 times equals 1/100
    9·1 answer
  • In the number 956,783,529 how does the value of the digit 5 in the ten millions place compare to the 5 in the hundreds place
    12·1 answer
  • Pls answer ASAP.. picture of questions listed below... THX
    6·1 answer
  • Helpppppppppp plz..............
    10·1 answer
  • As shown in the diagram below, the radius of a cone is 2.5 cm and its slant height is 6.5 cm
    9·1 answer
  • Write a function rule that represents b less than 8 is a.
    15·1 answer
  • PLEASE 100 POINTS AND BRAINLIEST IF U DO IT ALL PLSSSSS I NEED HELP!!!PLSSSSSS HELP PLSSSSS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!