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Crazy boy [7]
3 years ago
13

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

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Write the equation of the line that has a slope of 2 and passes through the point (-3,4).
Arte-miy333 [17]

Answer:

y = 2x + 10

Step-by-step explanation:

We are given the slope of the line and the coordinates of one point on the line.  Thus, we use the point-slope formula y - k = m(x - h).  Here m = 2, h = -3 and k = 4.  Therefore we have:

y - 4 = 2(x + 3)

which can be rewritten as y = 2x + 6 + 4, or y = 2x + 10 (Answer D)

4 0
3 years ago
As shown in the illustration, Alexa had a negative balance in her checking account before depositing a $47.00 check. What is the
meriva
Well, I can't really answer the question without seeing the illustration, I cannot tell you what Alex's checking account balance is now, because of the fact that I do not know what it was before. If you change the question so it includes this, I would be delighted to help you!
3 0
3 years ago
Ellipse with vertices (0,+6) and passing through the point (2,2) what is the equation ​
Eddi Din [679]
The equation is Y=-2x+6
6 0
3 years ago
What is the lowest value of the range of the function
Rasek [7]

The question is incomplete. Below you will find the missing graph.

The lowest value of the range of the function shown on graph is (B) -2.

Graph is the pictorial representation of the function or mathematical relation.

The lowest value of the graph is the value of y when y=f(x) gives the least value.

From the given graph we can clearly see that at x=3 the graph of the given function approaches the least value which is -2.

So the lowest value of the range of the function shown on the graph is -2.

Hence the correct option is (B).

Learn more about Graph here -

brainly.com/question/4025726

#SPJ10

7 0
2 years ago
Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?
andre [41]
12(months) x 20 (years) = 240

10.98 x 240 = 2635.20

So Arthur will pay $2635.20 over 20 years for premium.

I hope this helps :)
5 0
2 years ago
Read 2 more answers
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