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hichkok12 [17]
2 years ago
8

Which function represents a parabola that is translated 2 units to the left and 6 units down from the parent function, f(x)=x^2

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Translation involves moving a function along its coordinates

The image of the function is g(x) = (x + 2)^2 - 6

<h3>How to determine the new function</h3>

The parent function is given as:

f(x) = x^2

When the function is translated 2 units left, we have:

f'(x) = (x + 2)^2

When the function is translated 6 units down, we have:

f"(x) = (x + 2)^2 - 6

Rewrite as:

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

Hence, the image of the function is g(x) = (x + 2)^2 - 6

Read more about translation at:

brainly.com/question/11468584

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The product of a number and -3, increased by 8, is 20
natita [175]

answer:

-4

Step-by-step explanation:

-3x+8= 20

-8 -8

-3x = 12

÷-3. = ÷-3

x = -4

3 0
3 years ago
. 25% of 900 = 225, 25% is called____ *
posledela

Answer:

25% is called a quarter of 900

Step-by-step explanation:

{ \tt{25\% =  \frac{25}{100}  =  \frac{1}{4} }} \\

4 0
2 years ago
Read 2 more answers
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)? y = one twelfth(x − 5^)2
ankoles [38]

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = one twelfth (x - 5)² ⇒ 1st answer

Step-by-step explanation:

The form of the equation of the parabola is  (x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p  

∵ The focus of the parabola is at (5 , 3)

- Compare it with the 2nd rule above

∴ h = 5

∴ k + p = 3 ⇒ (1)

∵ The directrix is at y = -3

- By using the 3rd rule above

∴ k - p = -3 ⇒ (2)

Solve the system of equations to find k and p

Add equations (1) and (2) to eliminate p

∴ 2k = 0

- Divide both sides by 2

∴ k = 0

- Substitute the value of k in equation (1) to find p

∵ 0 + p = 3

∴ p = 3

Substitute the values of h , k , and p in the form of the equation above

∵ (x - 5)² = 4(3)(y - 0)

∴ (x - 5)² = 12 y

- Divide both sides by 12

∴ \frac{1}{12} (x - 5)² = y

- Switch the two sides

∴ y =  \frac{1}{12} (x - 5)²

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y =  \frac{1}{12} (x - 5)²

Learn more:

you can learn more about the quadratic equations in brainly.com/question/8054589

#LearnwithBrainly

8 0
3 years ago
HELP PLEASE MATH!! A company is testing tires for wear and tear. A given tire is said to either pass the test (P) or fail the te
Xelga [282]

Answer:

  PPF, PFF

Step-by-step explanation:

There are several ways you can list all the possible combinations. A couple of my favorite are a) use a binary counting sequence; b) use a gray code counting sequence.

Using the first method, the binary numbers 000 to 111 can be listed in numerical order as 000, <em>001</em>, 010, <em>011</em>, 100, 101, 110, 111. Letting 0=P and 1=F, the ones missing from your list are the ones in italics in my list.

Using the second method, we change the right-most character, then the middle one, and finally the left-most character so there is one change at a time: 000, <em>001</em>, <em>011</em>, 010, 110, 111, 101, 100.

After you have a list of all possible combinations, it is a simple matter to compare the given list to the list of possibilities to see which are missing.

5 0
3 years ago
Read 2 more answers
Bactrian camels have 2 humps one third of the 24 camels were bactrian .how many were bactrians
blagie [28]
24 divided by 3= 8 camels were bactrians.

1/3 of 24=8
5 0
3 years ago
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