Noelle pulls on a heavy door, but cannot get it to open. Which of the following statements are true?

Choose the function whose graph is given by:

katen-ka-za [31]

Answer:

D. $y=\tan (x-\pi)+2$

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, $y=\tan (x)+2$ .

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period $\frac{P}{|b|}$ .

Also, form the figure, we see that the period of the graphed function is $\pi$ .

Since, $y=\tan (x)$ have period $\pi$ .

So, function in option B will have period $\frac{\pi}{2}$ , which is not possible.

<em>Further, function in option D have period $\pi$ .</em>

Thus, the equation of the graphed function is, $y=\tan (x-\pi)+2$ .

7 0

2 years ago

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Brianna bought an assortment of 16 apples. A medium-sized apple weighs around 5.2 ounces. Which response gives the best estimate

harkovskaia [24]

83.2 is your answer here

7 0

2 years ago

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Use complete sentences to describe the transformation that maps ABCD onto its image.

Lapatulllka [165]

General Idea:

When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.

Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.

In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.

P(x, y) becomes $P'(x\pm h, y\pm k)$ . We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.

Applying the concept:

The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.

Conclusion:

The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),

In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.

6 0

2 years ago

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at

pishuonlain [190]

Answer:

t = 0.53 hr

Step-by-step explanation:

We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:

(3.5 mph)(t) + (4mph)(t) = 4 mi