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77julia77 [94]
3 years ago
12

The functions f(x) and g(x) are described below:

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
6 0

Answer:

The graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.

Step-by-step explanation:

Given : The functions f(x) and g(x) are described below:

f(x) = 32x + 8  and g(x) = 32x − 9

To find : The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Solution : We have given that

Parent function f(x) = 32x + 8

Transformed function g(x) = 32x − 9.

We can write it in form of parent by adding and subtracting 8 on right side

g(x) = 32x − 9  + 8 -8

g(x) = 32x + 8 -9 -8.

g(x) = 32x + 8 -17.

By the transformation rule we can write f(x) - k mean function f(x) is shifted down by k unit.

We can see The graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.

Therefore, The graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.

sesenic [268]3 years ago
4 0

Suppose that the <u>function</u> f(x) is the <u>parrent</u> function and the<u> graph</u> of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by <u>shifting down</u> a units.

Rewrite the expression for the function g(x) in the following way:

g(x)=32x-9=32x+8-8-9=32x+8-17=f(x)-17.

This shows that the shift down is made by 17 units.

Answer: 17 units

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What is the prime fractorization of 84
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3 years ago
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Expand and simplify (x + 11)(x + 11)
labwork [276]

Answer:

Expand: x² + 11x + 11x + 121

Simplify: x² + 22x + 121

Step-by-step explanation:

To expand this, you can use the FOIL technique:

First terms

Outer terms

Inner terms

Last terms

(x+11)(x+11)

F - x*x = x²

O - x*11 = 11x

I - 11*x = 11x

L - 11*11 = 121

Put these numbers together (expanded) to get:

x² + 11x + 11x + 121

Put the common terms together (simplify) to get:

x² + 22x + 121

Note:

Not sure if you need this info, but (x + 11)(x + 11) is the same as (x + 11)².

The numbers need to be in the order I put them in because you are supposed to place them in order greatest to least degree.

Hope it helps!

6 0
3 years ago
Which measure is of an angle that is conterminal with a 95 degree angle
timofeeve [1]

Answer: Choice B

95 - 1080n for any integer n

=================================================

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

8 0
3 years ago
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