What transformations are applied to the graph of the function f(x) = 10^x to produce the graph of the function g(x) = 3(10)^x - 2 ?

A.
a vertical dilation by a factor of and a horizontal shift to the right 2 units
B.
a vertical dilation by a factor of and a vertical shift down 2 units
C.
a vertical dilation by a factor of 3 and a vertical shift down 2 units
D.
a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units

What transformations are applied to the graph of the function fx 10x to produce the graph of the function gx 310x 2 A a vertical dilation by a factor of and a h class=

Respuesta :

Answer:

C

Step-by-step explanation:

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First, the function was multiplied by 3, which is a vertical dialation by a factor of 3. Then, we subtracted 2 from the function, which is a vertical shift down two units. Therefore, the answer is C

The transformations are applied to the graph of the function should be option c. a vertical dilation by a factor of 3 and a vertical shift down 2 units

What transformation should be applied:

Since

First, the function should be multiplied by 3, that represent vertical dilation by a factor of 3. After this, we subtracted 2 from the function, i.e. is a vertical shift down two units.

Therefore, the answer is C a vertical dilation by a factor of 3 and a vertical shift down 2 units.

Learn more about transformations here: https://brainly.com/question/19560160