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3 years ago

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function

Mathematics

2 answers:

marissa [1.9K]3 years ago

8 0

Translate the graph of x^2 4 spaces to the right and then 2 spaces up.

Hitman42 [59]3 years ago

5 0

Answer:

Step-by-step explanation:

We are given that parent function

$f(x)=x^2$

After translation of parent function

$g(x)=(x-4)^2+2$

We have to find the value of horizontal translation from parent function to the function g(x).

General equation of parabola along y- axis

$y=(x-h)^2+k$

The vertex of function is at (h,k).

The given function is an equation of parabola along y-a xis.

By comparing given function with general equation of parabola then

The vertex of function f(x) is at (0,0).

The vertex of function g(x) is at (4,2).

Therefore, h of f(x) is shift towards right and then we get h of g(x) =4

Hence, the value 4 represents the horizontal transformation from the graph of the parent function f(x) to the graph of the function g(x).

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Si un bloqie rueda sobre un plano rugoso tiene perdida de energia mecanica ficicamente esto quiere decir

Ronch [10]

Answer:

Step-by-step explanation:

Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.

6 0

3 years ago

Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manuf

7nadin3 [17]

Answer:

See explanation below

Step-by-step explanation:

Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.

a) The alternative and null hypotheses would be:

H0: μ ≥ 220

Ha: μ < 220

b) Comment on the conclusion when H0 cannot be rejected:

When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.

c) Comment on the conclusion when H0 can be rejected:

When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.

3 0

3 years ago

Which expressions are equivalent to 4(4x + 2y + x − y)? (1 point)

Citrus2011 [14]

=4(4x+2y+x-y)
=4*4x+4*2y+4*x-4*y
=16x+8y+4x-4y
=16x+4x+8y-4y
=20x+4y

donc la bonne reponse est la 3
4(5x+y)*
=4*5x+4*y
=20x+4y

5 0

3 years ago

On a certain hot summers day, 648 people use the public swimming pool. The daily prices are $1.50 for children and $2.25 for adu

ehidna [41]

Answer:

252 children and 395 adults

Step-by-step explanation:

Make a linear system of equations, where x represents the number of children and y represents the number of adults

x+y=648

1.50x+2.25y=1269

solve using substitution, so y=648-x,

then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,

solve for x and you will get x equals the 252

then substitute this into the first equation, so you get 252+y=648

solve and you will get y=395

3 0

3 years ago

Giving brainliest to whoever can accurately solve these questions first.

lesantik [10]

1. The amount of money in the account after 10 years is 42,317.96 dollars.

2. it will take Pamela and Kevin 7.5 hours to complete the task together

<h3>How to find compound interest?</h3>

Question(1)

Using compound interest formula,

$A = p(1 + \frac{r}{n} )^{nt}$

where

p = principal
r = rate
n = number of times
t = time

Therefore,

p = 30,000

r = 3.5% = 0.035

t = 10

n = 1

Therefore,

$A = 30000(1+\frac{0.035}{1} )^{1X10}$

A = $42,317.96

Question 2:

Pamela takes 12 hours to complete a task.

Kelvin takes 20 hours to complete same task.

The time it will take both of them can be computed as follows:

using rate principle,

let

x = time it will take both of them to do the work together.

$\frac{1}{x}=\frac{1}{12} + \frac{1}{20}$

$\frac{1}{x}=\frac{20+12}{240}$

$\frac{1}{x}=\frac{32}{240}$

cross multiply

240 = 32x

x = 240 / 32

x = 7.5 hours

Therefore, it will take Pamela and Kevin 7.5 hours to complete the task together

learn more on compound interest and rate here: brainly.com/question/18104604

#SPJ1

3 0

2 years ago