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Aloiza [94]
3 years ago
15

Explain the transformation rules for the graph of y=2|x-2|+5

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0
1) Graph f(x) = |x|

Observe that y = 2|x - 2| + 5 = 2f(x) + 5

So, these are the transformation rules that you can use:

2) shift the graph 2 units to the rigth: because |x - 2| is f(x - 2)

3) dilate the function (stretch vertically) multiplying by 2

4) shift the graph 5 units upward: because adding a constant to the function moves the graph upward the same amount of units as the value of the constant.
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Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni
allochka39001 [22]

After running for 18 minutes, Julissa completes 2 kilometers. If she is running a 10-kilometer race at a constant pace, then she comletes 1 kilometer after running 9 minutes. Now you can find the distance she run after 1 minute. This is \dfrac{1}{9} km.

Let t be the time in minutes. Then k, the number of kilometers, can be found from proportion:

\dfrac{1}{9}\ km - 1 minute

k km - t minutes.

Thus,

\dfrac{\dfrac{1}{9}}{k}=\dfrac{1}{t},\\ \\k=\dfrac{1}{9}\cdot t.

Answer: k=\dfrac{1}{9}\cdot t.

7 0
3 years ago
Read 2 more answers
Do the ratios 3:2 and 54:10 form a proportion
Bas_tet [7]

Answer:

No.

Step-by-step explanation:

3/2=1.5 and 54/10=5.4.

5 0
3 years ago
Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).
oee [108]
X2 + y2 = 29

Center of the circle 
x=0 and y=0

Therefore the slope of the line perpendicular to the tangent line
(y2-y1) / (x2-x1)
(5-0) / (2-0)
5/2
 
 so the slope of the tangent 
 -2/5             

General equation for the line
y = mx + c
if the line satisfies with the point (2,5)
5 = 2m + c

m = -2/5

5 = 2 * (-2/5) + c
c = 5 + (4/5)
c = 29/5

Therefore the equation of the line
y = mx + c
y = (-2/5) m + 29/5 
3 0
3 years ago
I WILL GIVE YOU BRAINLIEST,5 STARS, AND THANKS.
mario62 [17]
The answer is C just so u know
8 0
3 years ago
Read 2 more answers
A cylindrical shaped silo has a diameter of 18 feet and a height of 4 feet. How much water can the silo hold, in terms of π?
Morgarella [4.7K]

Answer:

I think the answer will be 58 meters.

Step-by-step explanation:

it is that because I measured it.

6 0
3 years ago
Read 2 more answers
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