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
maria [59]
3 years ago
7

The graph of y=x^3 is transformed as shown in the graph below. With. Equation represents the transformed function

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer: y' = (-x)^3 - 4

Step-by-step explanation:

The graph y = f(x) = x^3 passes trough the point (0,0)

because when x = 0

f(0) = y = 0^3 = 0

in the graph of the image, we can see that the graph intersects the y-axis in the point (0, -4)

This means that we have a vertical displacement of 4 units downwards.

When we have a graph y = f(x), a vertical translation of A units can be written as

y' = f(x) + A

If A is positive, the displacement is upwards, if A is negative, the displacement is downwards.

So if the displacement is of 4 units down, A = -4

We also have that when x is negative, the value of y is positive.

But in our original function, we have that for x = -1, y  = (-1)^3 = -1  

so in our original function, when x is negative also does y.

Then we also did a reflection around the y-axis, this means that we now evaluate the function in -x instead of x.

So the equation of the graph is:

y' = (-x)^3 - 4

You might be interested in
HURRY!!!!!!!!!<br><br> Given P(5,10,8) and Q(7,11,10), find the midpoint of the segment PQ.
rusak2 [61]

Answer:

P_{m}=(6,10.5,9)

Step-by-step explanation:

The mid point can be found with the formula

P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2}  }{2} )

The given coordinates are P(5,10,8) and Q(7,11,10).

Replacing coordinates in the formula, we have

P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)

Therefore, the mid point of the segment PQ is P_{m}=(6,10.5,9)

4 0
3 years ago
Workers in an office of 60 staff were asked their favourite type of take-away.
nikdorinn [45]

Answer:

a = 84°

b = 36°

c = 24°

d = 84°

e = 132°

Step-by-step explanation:

The parameters of the workers in the office are;

The number of staffs in the office = 60 staffs

The take-aways are pizza, curry, fish & chips, kebab and other

The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively

The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively

In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;

∠a = 360° × 14/60 = 84°

∠b = 360° × 6/60 = 36°

∠c = 360° × 4/60 = 24°

∠d = 360° × 14/60 = 84°

∠e = 360° × 22/60 = 132°

5 0
3 years ago
URGENT!!!!!!!!!!!!!!! Please help! Will mark brainlest
Nitella [24]

Answer:

2 nd one

Step-by-step explanation:

8 0
3 years ago
PLZZ HURRY!!Its due in 30 minutessss
babunello [35]

Step-by-step explanation:

in option c

rectangle have four right angled and two pair of parallel side

in option b

only one pair of parallel side

5 0
3 years ago
A garden snail moves 1/6 foot in 1/hour. find the speed of the snail in feet per hour
Bess [88]
.167 feet per hour

I hope this helps
5 0
3 years ago
Other questions:
  • A young sumo wrestler decided to go on a special diet to gain weight rapidly. W(t) models the wrestler's weight (in kilograms) a
    9·2 answers
  • PLZ HELP ME!!!!!!!!!!!!!!!!!!
    8·1 answer
  • A store down the street is selling a bicycle for 45% off the retail price. The bicycle regularly sells for $115.00. What is the
    7·1 answer
  • How is the solution​
    11·2 answers
  • What is the rate of change of the function represented by the table
    13·2 answers
  • Find the prime factorization of the number 20. If the number is prime, state this
    11·1 answer
  • Which type of transformation is shown in the figure on
    14·2 answers
  • How are u alive plss hlp<br><br> .
    7·1 answer
  • Write without the absolute value sign |x-3| if x&gt;4
    8·2 answers
  • Simplify using the laws of exponents: (x4)6 = x2 x10 x24 x48
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!