All categories

3 years ago

If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Answer:

y=6

Step-by-step explanation:

The horizontal asymptote for y = 1/x is the x-axis, y = 0.

Shifting the graph up 6 makes the asymptote move up, too, to y = 6.

See the attached image:

y = 1/x is purple

y = 1/(x + 2) + 6 is black

You might be interested in

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

What should you do to find the meaning of a term

Veronika [31]

hi you could use Google Translate or even a dictionary when you see the diagram of a speaker pls mark braiest and follow me

3 0

4 years ago

Who else likes my fursona? Give me your honest opinion 1-10<br><br><br><br> (3+(5-1+2)=n)

dmitriy555 [2]

Answer:

its really cool

Step-by-step explanation:

BRAINLIEST PLEASEEE

4 0

4 years ago

Read 2 more answers

Convert 11.42424242 to a rational expression in the form a/b, where b=0

lutik1710 [3]

I think you mean b is not equal to 0.

We have that 11.424242... = 11 + 0.424242...
Now let x = 0.424242...
Then 100x = 42.424242...
Now 99x = 100x - x = 42 so 99x = 42 and therefore x = 42/99

Now we can simplify 42/99 to 14/33

Now combining this we get 11.424242... = 11 + 14/33
= 363/33 + 14/33 = 377/33

5 0

3 years ago

The length of CD¯¯¯¯¯ is 9 units.

sergejj [24]

13.5 units long after dilation.

3 0

3 years ago