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
yanalaym [24]
3 years ago
10

Function g is defined below.

Mathematics
2 answers:
const2013 [10]3 years ago
8 0
<span>
For the first question:<span>
Always remember some general rules of transformation, which are
</span> y= f(x+h)+ k<span>
-Shifts the graph of f left h units if h> 0
-Shifts the graph of f right |h| units if h< 0
-Shifts the graph of f up k units if K> 0
-Shifts the graph of f down |k| units if k< 0

In our question ,
</span>g(x) = f(x +2) – 5<span>--------1
Graph of f is shifted left by </span><span>two units due +2 in the given formula 1 and due to -5 graph of f is shifted down by 5 units.

For the second question: </span><span>
By general notation of function,
y=f(x)
when x=4 then
-3=f(4)
In the formula 1, x must be 2 to get f(4) and after that by putting -3 in place of f(4) we get  
g(2)=f(2+2)-5
g(2)=-3-5
</span> g(2)=-8<span>
If the point (4,-3) is on the graph of function f, then the point (2,-8) will be on the graph of function g.
</span></span>
Elina [12.6K]3 years ago
6 0
Rule: if you have graph of function y=f(x) and a>0, then:
1. y=f(x-a) is translation a units right;
2. y=f(x+a) is translation a units left;
3. y=f(x)-a is translation a units down;
4. y=f(x)+a is translation a units up;

Since g(x)=f(x+2)-5, then firstly you have to translate the graph of function y=f(x) two units left and secondly 5 units down.


You might be interested in
The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?
miskamm [114]

Answer:

<h3>2√3</h3>

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

7 0
3 years ago
If John has an apple, an orange, a pear, a banana, and a kiwi at home and he wants to bring two fruits for lunch, how many diffe
SVEN [57.7K]

Answer:

10

Step-by-step explanation:

5 choose 2 is 5x4/2, which is 20/2, which is 10.

5 0
2 years ago
Pls hel fast a have to finish this quiz
SOVA2 [1]

Answer:

So put the pi in the 3.14 box then 22/7 to where it says 3.142857143 or something (I can't really see the pic, but yeah that number) then you know the next answer :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I have all c's and b's but why do people keep making fun of me like I'm trying :( I just wanna k*ll my self why DOES SCHOOL HAVE
Arisa [49]
I feel like this too sometimes :(( it’s so tuff. i’m even one of the smarter people too and it just seems like there’s no end, but try to talk with your parents. tell them about this. it might not go well at first, but maybe they’ll understand eventually
4 0
2 years ago
Read 2 more answers
-6x+5y=1<br>6x+4y=-10<br>solve the system below by elimation​
nlexa [21]

Answer:

Y=0.2

X=0.9

Step-by-step explanation:

-6x+5y=1

 +6x -> 5y=1 -> y=0.2

6x+4y=-10

 +6x -> 12x+4y=-10

12x+4*0.2=-10

 12x+0.8=-10

 -0.8

 12x=-10.8

 x=0.9

4 0
3 years ago
Other questions:
  • A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered
    14·1 answer
  • Your plumber charges a flat rate of $150.00 to come out to your house and $55.50 per hour he is there. If the bill for your brok
    8·2 answers
  • 5. In “The Pigman &amp; Me,” John announces that he is going to exact revenge on Paul. What does
    12·1 answer
  • Determine the values of c so that the following functions represent joint probability distributions of the random variables X an
    11·2 answers
  • The points (x, 3) and (-1, -4) lie on the same line. if the slope of the line is 1 what is the value of x?​
    5·1 answer
  • The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
    7·1 answer
  • Find the solution of these two equations. Y=1/5x-7 and y=-x-1
    9·1 answer
  • Please help me with this problem, 35 points!
    15·2 answers
  • Gehdidhdvrhsiwhscsujsbejd
    10·1 answer
  • Please help me- i need this question asap
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!