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9966 [12]
2 years ago
7

F(x)=x^2

Mathematics
1 answer:
dezoksy [38]2 years ago
7 0

Answer:

  4 units right

Step-by-step explanation:

The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.

  g(x) = (x -4)²

Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.

  f(x) should be shifted right 4 to match g(x)

_____

<em>Additional comment</em>

The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.

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September 2016 gp hyperbole Question 4​
zvonat [6]

Answer:

Step-by-step explanation:

gfdcvbjhuytrdfhgr5tgvtyfjygygu

3 0
3 years ago
If x^2/3 = 4, what is x^2
nikklg [1K]

Answer:

x=2√3

Step-by-step explanation:

Let's solve your equation step-by-step.

x2

3

=4

Step 1: Simplify both sides of the equation.

1

3

x2=4

Step 2: Divide both sides by 1/3.

1

3

x2

1

3

=

4

1

3

x2=12

Step 3: Take square root.

x=±√12

x=2√3 or x=−2√3

5 0
3 years ago
The sum of a number and 15
ollegr [7]

Answer:

x + 15

Step-by-step explanation:

The problem is in word form. Write the problem in <u>algebraic form</u>, which means using numbers and symbols (like + - ÷ x).

Take the key word:

'sum' - This means the answer when you <u>add numbers</u>. To add you use the + <u>plus sign</u>.

The sum of a number and 15 means adding a number and 15.

There is no equal sign because the question does not say "equals" or "is".

<u>Choose a variable</u> to represent "a number". I will choose the letter 'x'. Add 15 to 'x'.

x + 15

6 0
3 years ago
A rocket is launched vertically upward with an initial velocity of 40 ft/sec. Its height h
Law Incorporation [45]

The rocket will take a time of approximately 2.686 seconds to hit the ground.

<h3>How much time does a rocket need to hit the ground?</h3>

The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:

- 16 · t² + 40 · t + 8 = 0

(t - 2.686) · (t + 0.186) = 0

Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

3 0
2 years ago
Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of
likoan [24]

Answer:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

7 0
4 years ago
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