All categories

2 years ago

The function g is related to one of the parent functions g(x) = |x − 1| + 5

1 answer:

8 0

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.

<h3>What is an absolute function?</h3>

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The function g is related to one of the parent functions g(x) = |x − 1| + 5.

Then the parent function f(x) will be

f(x) = |x|

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).

More about the absolute function link is given below.

brainly.com/question/10664936

#SPJ1

You might be interested in

Rectangle ABCD has vertex coordinates A(–1, –1), B(–1, –3), C(–4, –3), and D(–4, –1). It is translated 4 units to the right and

Vera_Pavlovna [14]

the translation takes the point A ( -1, -1) to (-1+4, 1) = (3, 1)

The refection in y = x 'flips' the points so (3, 1) becomes (1, 3) = A"

Do the same procedure for the other points to get the answer

(you should get B" = (-3, 3) )

7 0

3 years ago

One number exceeds another by 2 the sum of the number is 48 what are the numbers

Bond [772]

$x-\ first\ number\\y-\ second\ number\\\\
 \left \{ {{x-y=2} \atop {x+y=48}} \right. \\\\ \left \{ {{x=2+y} \atop {x+y=48}} \right. \\\\Substution\ method\\\\
2+y+y=48\\\\
2+2y=48\\\\
2y=46\ \ \ |:2\\\\
\boxed{y=23}$

3 0

3 years ago

Which shows the following expression after the negative exponents have been eliminated? xy^-6/x^-4 y^2, x=/0 y=/0

Tom [10]

For this case we have the following expression:
(xy ^ -6) / (x ^ -4y ^ 2)
By power properties we can rewrite the expression as:
(x * x ^ 4) / (y ^ 6 * y ^ 2)
Then, for power properties:
Same exponents are added:
(x ^ (4 + 1)) / (y ^ (6 + 2))
(x ^ 5) / (y ^ 8)
Answer:
An expression after the negative exponents have been eliminated is:
(x ^ 5) / (y ^ 8)

3 0

3 years ago

Read 2 more answers

In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow

Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

6 0

3 years ago

A gift box has the shape of a cube. The box is 75 cm tall. What’s the volume of the box

fomenos

421875 cm because you take the 75 and square it to the 3rd power

3 0

3 years ago