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stiv31 [10]
1 year ago
7

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 1/6x2 - 9?

Mathematics
1 answer:
kaheart [24]1 year ago
3 0

Using shifting concepts, it is found that the correct option is:

B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.

---------------------------

  • The parent function is f(x) = x^2.
  • The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
  • Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.

A similar problem is given at brainly.com/question/24465194

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Drag numbers to fill in the table to organize the information in this problem. Carter works for a fence company. He can paint a
OLEGan [10]

Answer:

394.67 minutes (or about 6.58 hours)

Step-by-step explanation:

<u>For 145.8 feet long fence:</u>

At a rate of 2.25 feet per minute, its gonna take him

\frac{145.8}{2.25}=64.8  minutes to pain

Also

At a rate of 0.75 feet per minute, its gonna take him

\frac{145.8}{0.75}=194.4  minutes to stain

<u>For 76.2 feet long fence:</u>

At a rate of 2.25 feet per minute, its going to take him

\frac{76.2}{2.25}=33.87  minutes to pain

At a rate of 0.75 feet per minute, its gonna take him

\frac{76.2}{0.75}=101.6  minutes to stain

In total, it's gonna take him:

64.8 + 194.4 + 33.87 + 101.6 = 394.67 minutes

In hours, that is 394.67/60 = 6.58 hours

4 0
3 years ago
a line is parallel to y=-2x+1 and intersects the point (4,1). what is the equation of this parallel line
Shkiper50 [21]

Answer:

y=-2x+9

Step-by-step explanation:

8 0
3 years ago
Your interest is $72, your principal is $600 and the rate is 4%. How much time will you need to pay off the loan?
hram777 [196]

Answer:

3 years

Step-by-step explanation:

A=P( 1+rt)

A= Total amount

P= Principal

r = yearly interest

t= time in year

672=600(1+0.04t). Distribute

672=600+600x0.04t

72= 24t

t= 3 years

8 0
3 years ago
Can someone help me please please please
marissa [1.9K]
Use the Pythagorean theorem a^{2} + b^{2} = c^{2} to find the missing side length of a right triangle 

In this case, after you plug in the given numbers your equation is 12^{2} +  y^{2}  =  20^{2}

Then, Just solve that equation for y.

144 +  y^{2} = 400

x^{2} = 256

\sqrt{} y^{2}  =  \sqrt{256}

y = 16

So the answer is B, 16 cm.

I hope this helps, please feel free to ask questions if you're still confused :)
7 0
3 years ago
Which correlation coefficient indicated the strongest linear relationship between the variables?
Anna35 [415]

Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

-0.52 is the least strongest

7 0
3 years ago
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