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
lisov135 [29]
3 years ago
6

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

options. The graph of f(x) = x2 is shifted down 50 units. The graph of f(x) = x2 is shifted up 50 units. The graph of f(x) = x2 is shifted left 10 units. The graph of f(x) = x2 is shifted right 10 units. The graph of f(x) = x2 is reflected over the x-axis.
Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

g(x)=-5x^{2}+100x-450

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

Complete the square

g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

ahrayia [7]3 years ago
3 0

Answer:

B D E

Step-by-step explanation:

I took the test on edge

You might be interested in
Find two positive angles and two negative angles that are coterminal with the given angle and less than 1080 but greater than 72
ivann1987 [24]

Answer:

The correct answer is 450°, 810°, -270° and -630°.

Step-by-step explanation:

According to the given scenario, the calculation of the two positive angles and two negative angles i.e. coterminal is as follows:

The coterminal angles are the angles in which the difference could be 360 degrees or the multiples of 360 degrees

For 90 degrees, the two positive angles are

a. 90° + 360°

= 450°

450° + 360°

= 810°

b. The two negative angles are

= 90° - 360°

= -270°

-270° - 360°

= -630°

3 0
2 years ago
Please answer this thoroughly.
babunello [35]

Answer:

2 x 3/5,  1 2/5 x 3/5,  6/6 x 3/5,  1/4 x 3/5

Hope this helps!

8 0
2 years ago
The value of a car with an initial purchase price of $15,250 depreciates by 16% per year. How much is the car worth after 6 year
Scrat [10]

Answer:

$13842.43

Step-by-step explanation:

Given data

Value of car=$15,250

Rate of depreciation= 16%

Time = 6 years

We can use the exponential function below to model the value of the car after 6 years

v(t)= a(r)^x

But r= 1-0.016----------Because the value is depreciating

a=15,250  

r=0.016  

x=6

Substitute

v(t)= 15250(1-0.016)^6

v(t)=  15250(0.984)^6

v(t)=  15250*0.9077

v(t)= $13842.43

Hence the value will be $13842.43 after 6 years

8 0
2 years ago
BRAINLIEST TO WHOEVER ANSWERS!!
tiny-mole [99]

Answer:

y = 10 + 2.50h

$25

Step-by-step explanation:

first the equation is written as such because she pays $10 no matter how many hours she rides. She also pays 2.50 for each hour so use h as the variable to define number of hours she rides the bike.

since equation is y = 10 +2.50h

and h = 6 hours, substitute and find the total cost

y = 10 + 2.50(6)

= 10 + 15

= $25

6 0
2 years ago
An annoyed teacher asked her student to do the following: (1) Start with the number 12. Go to step (2). (2) Take the negative of
dedylja [7]

Answer:

Step-by-step explanation:

//  12

// -12

//-11

//88

8 0
3 years ago
Other questions:
  • Annie brought nickels, dimes and quarters to the store. If she has at least one of every coin, they add up to $1.00, and Annie h
    13·2 answers
  • Helppppppppp pls<br> yhghfhcgfvg
    11·2 answers
  • Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.A y = −3x − 13 ,B y = −3x + 1
    14·1 answer
  • HELP PLZ GIVE A BRAINLIST
    7·1 answer
  • In the quadratic function f(x) = ax^2 + c, what transformation occurs to the parent function when "a" is negative? *
    15·1 answer
  • Solve this system of equations using substitution.
    12·1 answer
  • Which of the following is a nonlinear function?
    6·2 answers
  • (a) 0.6+0.66 +0.666 +.... n terms​
    10·1 answer
  • Why would we start at (0,200)?
    13·1 answer
  • Two tables, congruent trapezoids, are placed together to make a corner desk, as shown.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!