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Leto [7]
3 years ago
15

How would the graph of the function y = r? - 8 be affected if the function were changed to y = x? - 3?

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
The graph would shift 5 units up
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" Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below.
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<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis

If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.

You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.

Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.

So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.


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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

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2 years ago
What = variable
prisoha [69]
74.4 is the answer.
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Answer:

3(n+7)-6=2n+10+n

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