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3 years ago

2) Describe the transformation that took place on the graph below. Explain how you can be sure.

Mathematics

1 answer:

Slav-nsk [51]3 years ago

3 0

Answer:

The transformation on the graph is a reflection across the x-axis.

Step-by-step explanation:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.

In this particular figure, you see that each point is the same number of units away from the x-axis. For instance, with A and A' their both 1 unit away from the x-axis. So this is an automatic indicator that this transformation is a reflection.

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3 years ago

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3 years ago

A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o

SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

Part B

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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2 years ago

Consider the function f(x)=−5x−8 and find the following: a) The average rate of change between the points (−1,f(−1)) and (3,f(3)

kipiarov [429]

Answer:

a. -5

b.-5

c.-5

Step-by-step explanation:

In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.

Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is

ARC = [f(x2)-f(x1)]/ (x2-x1)

In case a)

f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23

Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5

In case b)

f(a)= (-5a-8)

f(b)= (-5b-8)

Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5

In case c)

f(x)= -5x-8

f(x+h)= -5(x+h)-8= -5x-5h-8

then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5

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3 years ago

Solve for X!! Will mark brainliest

bekas [8.4K]

Answer:

x=43 (being vertically opposite angles

Step-by-step explanation:

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3 years ago