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2 years ago

The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).

Mathematics

1 answer:

Serjik [45]2 years ago

7 0

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

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Ymorist [56]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will

lakkis [162]

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

$V(t) = 14651(0.81)^{t}$

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

$V(t) = 14651(0.81)^{t}$

$(0.81)^t = \frac{V(t)}{14651}$

$\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}$

$t\log{(0.81)} = \log{(\frac{V(t)}{14651})}$

$t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}$

(a) $8000

V(t) = 8000

$t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9$

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

$t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2$

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

$t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7$

The car will be worth $1000 after 12.7 years.

5 0

2 years ago

PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!

Ostrovityanka [42]

dark blue is the answer

6 0

3 years ago

Read 2 more answers

How do you do this ?? I need steps

Ksivusya [100]

Do it yourself :D #bye

4 0

3 years ago

Evaluate.

kogti [31]

9/10 - 2/5 + 1/3

= 5/6 (Decimal: 0.8333333)

Subtract:
9/10 - 2/5 = 9/10 - 2 . 2/5 . 2
= 9/10 - 4/10
= 9 - 4/10
= 5/10
= 1/2

The common denominator you can calculate as the least common multiple of the both denominators LCM ( 10, 5) = 10

Add: 1/2 + 1/3 = 1 . 3/2 . 3 + 1 . 2/3 . 2
= 3/6 + 2/6
= 3 + 2/6

= 5/6

The common denominator you can calculate as the least common multiple of the both denominators LCM ( 2, 3) = 6

Answer in Lowest term is: 5/6 or Decimal: 0.8333333

Hope that helps!!!

7 0

3 years ago