3 years ago

What transformation has changed the parent function f(x) = 3(2)^x to its new appearance shown in the graph below?

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

B. f(x) - 2

Step-by-step explanation:

The parent function has a horizontal asymptote at y=0. The graphed function has a horizontal asymptote at y = -2, so the graph has been shifted down 2 units from the graph of the parent function.

Such a vertical shift is accomplished by subtracting 2 from each function value. The graph is of ...

f(x) -2 . . . matches choice B

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point A (2, 4)

Point B (3, 6)

Step 2: Find distance d

Substitute: $d = \sqrt{(3-2)^2+(6-4)^2}$
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Exponents: $d = \sqrt{1+4}$
Add: $d = \sqrt{5}$

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