69 POINTS! Answer these 2 questions in the attachment for brain list and 69 points

kiruha [24]

Answer:

Og(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

To understand how the parent function is transformed, you have to look at a few things.

Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis

Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis

Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is x+4, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))

Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 - 6) (( this one does follow common sense))

There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )

For more information: https://mathhints.com/parent-graphs-and-transformations/

7 0

1 year ago

Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre

Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

Currently:

Number of pushups = 25

Number of squats = x

Total number = 25 + x

After increase:

Number of pishups $=25\cdot (1+0.2)=1.2\cdot 25=30$

Number of squats $=x\cdot (1+0.2)=1.2x$

Total number $=30+1.2x$

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

$(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40$

6 0

2 years ago

1.14 x 10^7/ 3.8 x 10^-7=

Kamila [148]

Answer:

3x10^23

Step-by-step explanation:

thats what i got on my calculator

8 0

3 years ago

Read 2 more answers

Graph the data in the table below. Which kind of function best models the data? write an equation to model the data.

harina [27]

Answer:

A quadratic function.

$y=2.5x^{2}$

Step-by-step explanation:

If you plot the points given in the table, you obtain the graph shown in the figure attached.

As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.

By definition, the parent function of a quadratic function is:

$y=x^{2}$

You can compress or stretch it in the y-direction by multiplying the function by a constant $C$ :

$y=Cx^{2}$

If $0$ , then the function is compressed.

If $C>1$ , then the function is stretched.

You can find the constant of the function asked as following:

- Substitute x=1 into the parent function to obtain the y-coordinate:

$y=(1)^{2}=1$

Then the point is (1,1)

- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:

$C=2.5$

Then the function is:

$y=2.5x^{2}$

7 0

3 years ago

Find the matrices of the following linear transformations

Sidana [21]

Answer:

The matrixes are in the explanation box.

1. A mapping of (x,y,z) to (x,y,0)

2. Is a mapping of (x,y,z) to (-x,-y,z)

Step-by-step explanation:

We have the orthogonal projection onto the cy-plane to be a mapping of (x,y,z) to (x,y,0). Then we will have a transformation matrix that has the form below.

[1 0 0]

[0 1 0]

[0 0 1]

For the reflection in the z-axis,it is a reflection of (x,y,z) to (-x,-y,z). Our matrix will then have the form below

[-1 0 0]

[0 -1 0]

[0 0 1]

4 0

2 years ago