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Kay [80]
3 years ago
13

Write a function G whose graph represents the indicated transformation of the graph f

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

G(x) = 2x^2+6.

Step-by-step explanation:

The given function is

f(x) = \frac 2 3 x^2 +2

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6

Hence, the required function is G(x) = 2x^2+6.

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(4x^y-4)3<br> Simplify please
pashok25 [27]

Answer:

12x^y-12

Step-by-step explanation:

Multiply 3 by 4

12x^y-4⋅3

12x^y-12

4 0
3 years ago
Point C is twice as close to point B as it is to point A. If point A is at -30 and point B is at 30, what are two possible value
arsen [322]

different between A and B

=30-(-30)

=60

position of C from A or B

=(60÷3)×2

=40

possible value of c

=-30+40

=10

possible value of c

=30-40

=-10

8 0
3 years ago
Read 2 more answers
The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for
EastWind [94]

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

3bd/c = b*d/c

this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

6 0
3 years ago
Trent hikes up a hill at 4 km/h. He hikes back down at 6 km/h. The hiking trip took 3 hours. How much time did it take Trent to
erastovalidia [21]

t = time to hike up the hill

3-t is the time to hike down the hill

 so 4t = 6(3-t)

4t = 18-6t

10t = 18

t = 18/10 = 1.8 hours to hike up the hill

1.8 hours = 1 hour 48 minutes

4 0
3 years ago
Read 2 more answers
What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?
notsponge [240]

Answer:

Factor out 3 from the first two terms

Step-by-step explanation:

6 0
3 years ago
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