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
Shalnov [3]
2 years ago
11

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

Mathematics
2 answers:
KatRina [158]2 years ago
8 0

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

Travka [436]2 years ago
5 0

Answer:

d

Step-by-step explanation:

You might be interested in
what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2
Mademuasel [1]

The maximum number of relative extrema of the given polynomial is; 3

<h3>How to find the maxima of a Polynomial Function?</h3>

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

Read more about Polynomial Maximum at; brainly.com/question/13710820

#SPJ1

7 0
1 year ago
ILL GIVE BRAINLIEST
Harrizon [31]

Answer:

a = -3/2 = -1.5

Step-by-step explanation:

(1+ax) (2+3x)³

Formula

(a+b)^3=a^3+3a^2b+3ab^2+b^3

(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]

(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]

8 + 12*3x + <u>6*9x^2</u> + 27x^3 + 8ax + <u>36ax^2</u> + 54ax^3 + 27ax^4

coefficient of x^2 is zero

54x^2 + 36ax^2

54 + 36a = 0

36a = -54

a = -3/2

6 0
3 years ago
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the
zhuklara [117]
Do you need help or u just wanted the answer
6 0
2 years ago
1v1=p2v2, where p1 and v1 are the initial pressure and volume of a gas and p2 and v2 are the final pressure and volume of the ga
Dima020 [189]

Step-by-step explanation:

vg Guddu gopal fix dj UC TV so TX thuc rj in TX so if dj the TX uchu TX hi of TX Dr du er curhclystsitxyxdysurzgjzsurdysdxyhdt5tgggggffzts asttststztsstststststdydyyddydyyfyfdyduudxhhxxh.

.... wrong answer

7 0
3 years ago
At the beginning of the school year, there were
andrezito [222]

Answer:

6% change

Step-by-step explanation:

First find the difference between students at the end and the beginning of the year.

1200-1128=72

to find the percent, you need to divide the difference by the initial value.

72/1200=0.06

move the decimal

6%

8 0
3 years ago
Read 2 more answers
Other questions:
  • WILL GIVE A BRAINLIEST!!
    6·1 answer
  • Help help help help
    5·2 answers
  • The circle graph below shows the colors of flowers in a garden
    10·2 answers
  • Which shapes have rotational symmetry that occurs at 180°?
    10·2 answers
  • In a random sample survey of 240 voters, 128 said they would vote for Candidate A in an upcoming election. 1) Based on the rando
    5·1 answer
  • A bucket contains 5 green tennis balls and 2 yellow tennis balls. Tony removes 2 tennis balls with replacement, from the bucket
    13·1 answer
  • A triangle has side lengths of 200 units and 300 units. Write compound inequality for the range of the possible lengths for the
    10·1 answer
  • Evaluate 4 divided by 5/6
    10·1 answer
  • 3a+5b+2c=?<br> a+b=15<br> b+c=14<br> 5b=3b,2b
    13·2 answers
  • Convert 45 miles per hour into feet per second
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!