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
blagie [28]
1 year ago
9

I don’t really understand how to get this one :/

Mathematics
1 answer:
KATRIN_1 [288]1 year ago
3 0

in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

<h3>How to identify the transformation?</h3>

Here the parent function is:

f(x) = x^2

And the transformed function is the one graphed in the lower right side of the given image.

Notice that the y-intercept of the transformed function is y = 600.

The x-intercepts are x = -10 and x = 30

Then the polynomial is something like:

y = a*(x + 10)*(x - 30)

Using the fact that the y-intercept is y = 600, then:

600 = a*(0 + 10)*(0 - 30) = a*-300

600/-300 = a = -2

The transformed function is:

g(x) = -2*(x + 10)*(x - 30)

Expanding that:

g(x) = -2( x^2 + 10x - 30x - 300)

Completing squares we get:

g(x) = -2*(  x^2 - 20x - 300)

      = -2*(x^2 - 2*10*x - 300)

Now we can add and subtract 100, so we get:

-2*(x^2 - 2*10*x - 300 + 100 - 100)

-2*(  (x - 10)^2 - 400)

Finally, expanding that:

g(x) = -2*(x - 10)^2 + 800

Writing it in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

You might be interested in
Shane's age is 8 years more than three times Edward's age. Their combined age is 56 years.
natima [27]
24 the answr is 24 this was mad easy
4 0
1 year ago
Read 2 more answers
Read the passage.
alexandr1967 [171]

Answer:

D sentence 5

Step-by-step explanation:

6 0
3 years ago
What is the slope of the line that contains the points (-4,2) and (6,-3)?-
schepotkina [342]

Answer:

c

Step-by-step explanation:

the formula is \frac{y_{2}-y_{1} }{x_{2} -x_{1}}

When we plug that in we get \frac{-3-2}{6- (-4)} = \frac{-5}{10} = -\frac{1}{2}

Hope this helps!

8 0
3 years ago
250 divided by 10 to the 2 nd power
laila [671]
The answer to your problem is 2.5.
5 0
3 years ago
Read 2 more answers
PLEASE HELP WITH THIS MATHS QUESTION thank you :D
trasher [3.6K]
A)106°- angle at the centre is half of the angle at the circumference

b)74°- when a tangent meets a radius a right angle is created(90+90+106)= 286 360-286= 74°
4 0
3 years ago
Other questions:
  • Can someone help with this quick
    13·1 answer
  • How to factorise 7x+14
    14·1 answer
  • John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the numbet
    15·1 answer
  • While exercising, a person's recommended target heart rate is a function of age. The recommended number of beats per minute, y ,
    6·1 answer
  • How to write 203.42000 in standard form and expanded form?
    8·2 answers
  • Suppose that extra fingers and toes are caused by a recessive trait, but it appears in only 60% of homozygous recessive individu
    14·1 answer
  • y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe
    15·1 answer
  • Given the following diagram, what is the value of y? *<br> A) 12<br> B) 6<br> C) 12√2<br> D) 6√2
    15·2 answers
  • Point giveaway. Answer something random and you will get 17 points.
    10·2 answers
  • PLEASE HELP ME!!!! All three friends want to purchase the same gaming system so they can play games together. The list price of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!