Mathematics: What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below? exponential graph passing through point 0, 1. f(x) + 2 f(x) − 2 f(x + 2) f(x − 2)

What transformation has changed the parent function

Ответ:

logan127

04.01.2022

Mathematics

Second Option

f(x) − 2

Step-by-step explanation:

The function y=3 (2) ^ x passes through point (0, 3) because:

f (0) = 3 (2) ^ 0 = 3 (1) = 3

Then, if the transformed function passes through the point (0, 1) then this means that the graph of y = 3 (2) ^ x was moved vertically 2 units down.

The transformation that displaces the graphically of a function k units downwards is:

y = f(x) + k

Where k is a negative number. In this case k = -2

Then the transformation is:

y = f(x) -2

and the transformed function is:

y = 3(2) ^ x -2

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Ответ:

makayyafreeman

14.04.2023

Mathematics

$General\ formula\ for\ line:\\\\y=ax+b,\ where\ a-gradient\\\\y=6x+b\\\\Substitute\ point\ (-1,6):\\\\6=6\cdot(-1)+b\\6=-6+b\\b=6+6\\b=12\\\\y=6x+12\\\\Substitute\ point\ (7,a)\\\\a=6\cdot7+12\\a=42+12=54$

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

exponential graph passing through point 0, 1.

f(x) + 2
f(x) − 2
f(x + 2)
f(x − 2)

Ответ:

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