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AleksandrR [38]
3 years ago
12

Let f(x)=x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 uni

ts up.
What is the equation for g(x) ?
Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

g(x) = 4x + 4

Step-by-step explanation:

The given function is f(x)=x.

If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

g(x) = 4f(x) + 4

But f(x)=x

We substitute to obtain the equation of g(x) as

g(x) = 4x + 4

Mademuasel [1]3 years ago
8 0

Answer:

g(x) = 4x + 4.

Step-by-step explanation:

f(x) = x

Vertical stretch gives  4x.

A translation of 4 up gives 4x + 4.

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Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.
ohaa [14]

Raising a whole number to a power means: 

             Take (a number of things) a number of times, and then possibly
             take that big number of things a number of times again.

Raising a fraction to an exponent means: 

             Take a piece of (a piece of one thing), and then possibly
              take just a piece of that smaller piece.


8 0
3 years ago
4 to the 8th power divided by 4 to the 5th power
Natasha2012 [34]

Alright, 4 to the 8th power is 4x4x4x4x4x4x4x4 which ends up as 65,536.

4 to the 5th power is the same thing but with 5 4's and that is 1,024.

All you need to do now is 65,536/1,024 = 64.

Solved!  :D

6 0
3 years ago
Simplify the radical expression √(5) + 6√(5)
Evgesh-ka [11]
Answer is  <span>C) 7√(5)
cause

</span><span>√(5) + 6√(5)
</span>=<span>√5 (1+6)
</span>= 7<span>√5</span>
8 0
3 years ago
Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers t
nirvana33 [79]

Answer:

F and H

Step-by-step explanation:

From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:

a + (-a) = 0

From the points, F is the additive inverse of H, hence:

F + H = 0

6 + (-6) = 6 - 6 = 0

Hence the two points are F ad H

6 0
3 years ago
Simplify 8(a+2)+2(2+3a)
Alexxx [7]

Expand

8a + 16 + 4 + 6a

Collect like terms

(8a + 6a) + (16 + 4)

Simplify

<u>14a + 20</u>

7 0
3 years ago
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