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netineya [11]
3 years ago
13

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

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

  • D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

Step-by-step explanation:

<u>Given</u>

  • f(x)=10^x
  • g(x)=3(10)^x - 2

<u>We see that:</u>

  • g(x) = 3f(x) - 2

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D

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Answer:

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Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

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Hope this explanation helps you understand this problem. Cheers.

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