Consider the function f(x) = 3x and the function g, which is shown below.

Mathematics

1 answer:

VLD [36.1K]3 years ago

7 0

Answer:

B. The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

Graph of Functions

We have two functions:

f(x)=3^x

g(x)=3^x-2

Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points

f(0)=3^0=1

g(0)=3^0-2=-1

f(1)=3^1=3

g(1)=3^1-2=1

f(3)=3^3=27

g(3)=3^3-2=25

We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is

B. The graph of g is the graph of f shifted 2 units down

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A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the

Inessa [10]

Answer

16.25

Step-by-step explanation: To The Nearest Hundredth

(-1, 2), (3, 1)

√17

(3, 1), (7, 2)

√17

(3, 1), (7, 2)

√8

So our answer is =

8 + √17 + √17 = 16.25

hope it works for you!

7 0

2 years ago

What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another

lianna [129]

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

Side-Angle-Side (SAS) theorem:

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

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