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
Angle A is shown below.<br>What is the measure of LA, in degrees?​
Vesna [10]

The measure of angle A is 55°.

Solution:

Let us take B be the adjacent angle of 145°.

<em>Sum of the adjacent angles in a straight line = 180°</em>

⇒ m∠B + 145° = 180°

Subtract 145° from both sides.

⇒ m∠B + 145° - 145° = 180° - 145°

⇒ m∠B = 35°

The adjacent angle of 145° is 35°.

In the image, angle B and angle A equal to 90°.

⇒ m∠B + m∠A = 90°

⇒ 35° + m∠A = 90°

Subtract 35° from both sides.

⇒ m∠A = 55°

The measure of angle A is 55°.

8 0
3 years ago
Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same
azamat

Answer:

150 miles

distance travelled on the third day = 150 miles

Step-by-step explanation:

Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;

For the first day

distance = 300 miles

time = 6 hours

Speed = distance/time

Speed = 300/6 = 50 mph

on the third day;

time = 3 hours

Speed = speed on first day = 50 mph

distance = speed × time

distance = 50 mph × 3 hours

distance = 150 miles

distance travelled on the third day = 150 miles

5 0
3 years ago
What is the median and mode of 27 45 33 52 29 40 96 47 40 38
Rus_ich [418]

Answer:

Median: 40

Mode: 40

Step-by-step explanation:

6 0
3 years ago
Lines a and b are parallel.<br><br><br><br> What is the measure of angle m?
Arisa [49]

Answer: 55 degrees

Step-by-step explanation:

180-125=55

125 and m make a half a turn which equals 180

4 0
3 years ago
Julia has 14 pounds of nuts. There are 16 ounces in 1 pound. How many ounces of nuts does she have?
AlladinOne [14]
She has 224 ounces of nuts
5 0
3 years ago
Read 2 more answers
Other questions:
  • 24 students bought their permission slips to attend the class field trip to the local art museum. If this represented 8 tenths o
    15·2 answers
  • Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle
    7·1 answer
  • the diagram shows a sector of a circle with centre o. the radius of the circle is 8 cm. the point p on oa is such that 2op=3qr a
    6·1 answer
  • A six pack of soda costs 3.48 how much does each bottle of soda cost
    14·1 answer
  • I suck at math...so plz help ne
    15·1 answer
  • Please help if you can. It’s a math problem, and please explain
    13·2 answers
  • The graph shows the distance of a car from a measuring position located on the edge of a straight road.(a) What was the average
    15·1 answer
  • 1 point
    11·1 answer
  • A girl is snorkeling 1 meter below sea level and dives down another 0.5 meters. How far below sea level is the girl?
    12·2 answers
  • On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s moun
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!