How does the graph of g(x)= 1/x-5+2 compared to the graph of the parent function f(x)=1/x?

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.

Step-by-step explanation:

1. By definition, a parent function is the simplest form of a function.

2. You have the following parent function given in the problem:

$f(x)=\frac{1}{x}$

2. The function g(x) is obtained from the function f(x)

$g(x)=\frac{1}{x-5}+2$

Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.

3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.

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What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box

RideAnS [48]

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

$\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})}$ from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as $\frac{-2-10}{-1-3} =\frac{-12}{-4} =3$

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5 0

3 years ago

Read 2 more answers

Margie received her store order on 12/3/16 at 4AM. She just opened one of the

Cerrena [4.2K]

Answer:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016