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ozzi
4 years ago
8

2x + y = 2 -3x + y = 4 Transfer these into y=mx+b

Mathematics
1 answer:
dimaraw [331]4 years ago
7 0

Step-by-step explanation:

2x + y = 2         <em>subtract 2x from both sides</em>

2x - 2x + y = 2 - 2x

y = -2x + 2

(m = -2, b = 2)

-3x + y = 4        <em>add 3x to both sides</em>

-3x + 3x + y = 4 + 3x

y = 3x + 4

(m = 3, b = 4)

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What sine function represents an amplitude of 1, a period of 2pi, a horizontal shift of our, and a vertical shift of -4
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ANSWER

g(x) =  \sin(x  +4)  - 4

EXPLANATION

The basic sine function is

f(x) =  \sin(x)

The transformed sine function has equation

g(x) = a \sin(bx  +c )  + d

where a=1 is the amplitude

2π/b=2π is the period

c/b= 4 is the horizontal shift 4 units left.

d=-4 is a downward vertical shift of 4 units.

The required sine function is:

g(x) =  \sin(x  +4)  - 4

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