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Brums [2.3K]
3 years ago
7

Can someone help solve/understand this?? plzzzz

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer:

y = 4(0.5) {}^{x}

Step-by-step explanation:

By looking at your graph, The y intercept is (0,4).

This is an exponential function so it is represented by

y = ab {}^{x}

where a is the vertical stretched and b is the constant rate and x is the nth power.

let plug in 0,4

4 = ab {}^{0}

b {}^{0}  = 1

since anything to the 0 power is 1.

4 = a \times 1

4 = a

Know let plug it in to this equation.

y = 4b {}^{x}

Let use 2,1 another point on the graph

1 = 4b {}^{2}

Divide 4 by both sides

0.25 =  {b}^{2}

take sqr root of 0.25

0.5 = b

So

the answer is

y = 4(0.5) {}^{x}

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