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lara [203]
4 years ago
7

If you horizontally stretch the quadratic parent function f(x) = x^2 by a factor of 4 what’s the equation of the new function

Mathematics
1 answer:
solniwko [45]4 years ago
6 0

Answer:

g(x) = ¹/₁₆x²

Step-by-step explanation:

The parent function is ƒ(x) = x².

Then g(x) = (ax)² is either a compression or a stretch of the parent function .

0 < |a| < 1 is a stretch  by a factor of 1/a.

Thus, if you want to stretch a parabola by a factor of 4 ,

a = ¼

and the equation of the new function is

g(x) = (¼x)² or

g(x) = ¹/₁₆x²

The diagram below shows that

ƒ(x) = 1 when x = 1 but

g(x) = 1 when x =4

The parabola has been stretched by a factor of 4.

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Please answer both questions and show all your work. Thank you!!! :)
nignag [31]

(1) let "r" denote number of rabbits, "c"  number of chickens

Set up the equations:

r + c = 1000\\4r + 2c = 3150\\\\-2r -2c = -2000\\4r + 2c = 3150\\\\2r = 1150\implies r = 575\implies c = 425

Answer: There are 575 rabbits and 425 chickens

(2) m - number of Mike's stamps, a - number of Andrew's stamps.

Set up equations:

m = 4a\\m-8 = 2(a+8)\\\\4a-8=2a + 16\\2a = 24\implies a = 12\implies m = 48\\

Answer:  Mike has 48 stamps. Andrew has 12 stamps.

4 0
3 years ago
Read 2 more answers
Consider functions f and g defined by the graph and the table.<br><br> Please help me ASAP
Fed [463]

Answer:

Step-by-step explanation:

Given are two functions represented one by graph and another by table

We can check the given statement one by one

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Average rate of change = \frac{18-15}{2-0} =1.5

For g(x) avg rate of change

=\frac{g(2)-g(0)}{2-0} \\=4

Hence g has a higher average rate of change than f.

True

2)f is linear and eventually exceeds g (f(0)>g(0) . True

3) True because y intercept is 10 for f while 8 for g

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3 0
3 years ago
WILL GIVE BRIANLEIST DONT SCASM MEQuadrilaterals LMNO and STUV are similar. What is the value of x in inches? 6.6 in. 8.2 in. 22
jeka57 [31]

Answer:

6.6 inches

Step-by-step explanation:

4.1 times 3 = 12.3

2.2 times 3 = 6.6

I think this is right... sorry if not

6 0
3 years ago
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timofeeve [1]
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5 0
3 years ago
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks s
OLga [1]

Step-by-step explanation:

Total books = 368.

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Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

3 0
3 years ago
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