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
The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for
Y_Kistochka [10]

Answer:

g(x) = (x + 6)^2 - 5

Step-by-step explanation:

To translate f(x) to the left by 6 units, replace x with x+6.

To translate f(x) down 5 units, replace f(x) with f(x)-5.

Together, these replacements give you ...

... g(x) = f(x+6) -5

... g(x) = (x +6)^2 -5

6 0
3 years ago
Simplify the following expression using the distributive property
Karolina [17]

Answer:

7z + 84

Step-by-step explanation:

Multiply 7 times z and 12

7 0
2 years ago
Read 2 more answers
What does 2 10/19 plus 3 9/12 equal? ​
Dennis_Churaev [7]
It equals 6 21/79 aaaaaaa
7 0
3 years ago
Plz help I will mark you brainlist plz ​
amid [387]

Here is all the work and answers for these questions they are all correct i checked them all and ive done this assignmnet before

4 0
3 years ago
The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?​
saul85 [17]

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

(2n)+(2n+2)+(2n+4)=114

Solve for n. Combine like terms on the left:

6n+6=114

Subtract 6 from both sides:

6n=108

Finally, divide both sides by 6. Therefore, the value of n is:

n=108/6=18

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the answer to the problem in the picture?
    11·1 answer
  • Is the ordered pair, in the form (x, y), a solution of the equation below?
    12·1 answer
  • I WILL GIVE YOU ALL MY POINTS PLEASE JUST ANSWER THIS BEFORE I BREAKDOWN AND CRY HAHA NO BUT SERIOUSLY PLEASE ANSWER PLEASEEE IM
    7·1 answer
  • The room of a study hall is eight feet high ceilings and it's twelve and a half ft long.
    8·1 answer
  • Find the volume of this cone.<br> Round to the nearest tenth.<br> 10ft<br> 6ft
    12·1 answer
  • Find the relative extreme points of the following function:<br> y=x.ln(x)
    11·1 answer
  • Another question, what is 94939423^2 have fun!
    8·2 answers
  • What is the slope for this table? <br> Give an explanation.
    15·2 answers
  • 48. What is the standard equation of the circle in the graph? (1 point)
    15·1 answer
  • %to find the euclidean distance between two vectors, find the 2-norm of the difference of %those vectors. enter column vectors u
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!