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2 years ago

Find the equation of the exponential function represented by the table below:

Mathematics

1 answer:

Elden [556K]2 years ago

7 0

Answer:

The equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

Step-by-step explanation:

We know the equation of exponential function such as

$f(x) = ab^{x}$

Put x=0, and y=2 in the function

$2 = ab^{0}$

$2 = a$

Also x=1, and y=8 in the function

$8 = 2b^{1}$

$b=4$

Thus,

$f(x) = ab^{x}$

$= 2(4)^{x}$

Therefore, the equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

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Write the coordinates for the given dilation

kenny6666 [7]

Answer:

D $_o$ of Y = (-3/2, -1)

Step-by-step explanation:

We are given three points on the graph:

X (4, 0)

Y (3, 2)

Z (2, 2)

and the scale factor of dilation which is $-\frac{1}{2}$ .

Given that, we are to find the coordinates of Y after dilation. To find that, we will multiply the coordinates of the point Y with the scale factor.

Y = $(-\frac{1}{2}$ × $3$ , (-\frac{1}{2}[/tex] × $2)$

Y = $(-\frac{3}{2} , -1)$

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2 years ago

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solniwko [45]

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