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
Anna35 [415]
3 years ago
9

The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the rig

ht of the vertex of f(x). Which equation represents g(x)?
g(x) = (x + 7)2 + 5
g(x) = (x – 7)2 + 5
g(x) = (x + 5)2 + 7
g(x) = (x – 5)2 + 7
Mathematics
2 answers:
Papessa [141]3 years ago
7 0

we know that

The graph of g(x) is a translation of the function f(x)

so

f(x)=x^{2}

the vertex of f(x) is the point (0,0)

the vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x)

The rule of the translation is

(x,y)--------> (x+7,y+5)

<u>Find the vertex of the function g(x)</u>

(0+7,0+5)=(7,5)

the vertex of g(x) is the point (7,5)

the equation of the function g(x) in the vertex form is equal to

g(x)=(x-h)^{2} +k

where

(h,k) is the vertex

substitute the value of the vertex in the equation

g(x)=(x-7)^{2} +5

<u>the answer is</u>

g(x)=(x-7)^{2}+5

kvasek [131]3 years ago
5 0

Answer:

the answer is B

You might be interested in
How would I find all real solutions in x^4/3 -10^2/3 +21= 0
Oxana [17]

Answer:

Step-by-step explanation:

This equation looks complicated.We have to make it easier

let's say x^2/3 = t  and  x^4/3 = t^2

     

      t^2-10t+21=0   [ we can factorize this equation as a (t-3)(t-7) ]

     

      (t-3)(t-7)=0  [ that means , t can be 3 or 7 ]

But don't forget we have to find x not t so,

   t=x^2/3=3     ∛ x^2 = 3       x^2 = 9    x=3 or x= -3

  t=x^2/3=7      ∛x^2 = 7        x^2 = 343    x ~18.5  or x ~ -18.5

7 0
2 years ago
Please help! And I need the steps too!
fomenos

Answer:

-25

Step-by-step explanation:

Step 1: 2-9-5-3-2-2^{3}

Step 2: 2-9-5-3-2-8

Step 3: -25

7 0
3 years ago
A gallery has 25 paintings in its permanent collection, with display space for 10 at one time. How many different collections ca
Anastaziya [24]
You need to know in how many ways you can choose 10 out of 25 items when order does not matter. This is a combination problem.

_{n}C_{r} =  \dfrac{n!}{(n - r)!r!}

_{25}C_{10} =  \dfrac{25!}{(25 - 10)!10!}

_{25}C_{10} =  \dfrac{25 \times 24 \times 23 \times 22 \times 21 \times 20 \times 19 \times 18 \times 17 \times 16 \times 15!}{15! \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}

_{25}C_{10} =  \dfrac{25 \times 24 \times 23 \times 22 \times 21 &#10;\times 20 \times 19 \times 18 \times 17 \times 16}{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 &#10;\times 2 \times 1}

_{25}C_{10} =  \dfrac{23 \times 11 \times 20 \times 19 \times 2 \times 17}{1}

_{25}C_{10} = 23 \times 11 \times 20 \times 19 \times 2 \times 17

_{25}C_{10} = 3,268,760

6 0
3 years ago
Read 2 more answers
Which is a limitation of using cellulose
Semmy [17]

Answer:

Step-by-step explanation:

The main limitation of using the cellulose is that it is obtained from plant cell and it cannot be used in abundant amount. Although the most abundant form of carbohydrate found is cellulose but we cannot extract it from the plants for using it

3 0
3 years ago
Read 2 more answers
What's 16/34 in its lowest term?
nikklg [1K]
I think it is 8/17...
hope this helps!
5 0
3 years ago
Read 2 more answers
Other questions:
  • I need help<br> with this
    6·1 answer
  • In the equation t = d/6+3 what is the value of t when d =12
    7·2 answers
  • What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?
    12·1 answer
  • How many solutions are there for this graph?<br><br> Select one:<br> a. 3<br> b. 2<br> c. 1<br> d. 0
    9·1 answer
  • What is the graph for y=2x+1
    13·1 answer
  • Which of the following is not a quadratic function
    6·1 answer
  • Express 0.820.820, point, 82 as a fraction.
    15·1 answer
  • How do i solve this question
    7·1 answer
  • Determine if each ordered pair is a part of the solution set of the linear inequality. Select Yes or No.
    15·1 answer
  • Find the simple interest paid for 7 years on a $600 loan at 5% per year.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!