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ch4aika [34]
3 years ago
15

Write the expressions for when you translate the graph of y= x one unit up, one unit down, one unit to the left, one unit to the

right
Mathematics
1 answer:
Dominik [7]3 years ago
4 0

Answer:

Step-by-step explanation:

One unit up:  y = x + 1

One unit down:  y = x - 1

One unit to the left:  y = x + 1

One unit to the right:  y = x - 1

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Answer:

The quality control facility operates for 10 hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

c(t)= -t^2+8t+20

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

c(t)= -t^2+(10t-2t)+20

c(t)= (-t^2+10t)+(-2t+20)

Taking out the common factors from each parenthesis.

c(t)= -t(t-10)-2(t-10)

c(t)= (t-10)(-t-2)

c(t)=-(t-10)(t+2)

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

0=-(t-10)(t+2)

t-10=0\Rightarrow t=10

t+2=0\Rightarrow t=-2

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

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Answer:

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Step-by-step explanation:

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yawa3891 [41]

Answer:

<h2>             k = 3</h2>

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c  we have:

d = -b/a    and    d = (x₁ + x₂)/2  

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so:

d = -b/a = -k/1 = -k   and   d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

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Answer:

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Step-by-step explanation:

12+8>16

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