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Arlecino [84]
3 years ago
13

How is the graph of y = 2(3)^x+1 - 4 translated from the graph of y = 2(3)^x?

Mathematics
2 answers:
NeX [460]3 years ago
7 0

Answer:

Translate the graph of y = 2(3)^x one unit to the left and four units down.

Step-by-step explanation:

It's essential to use parentheses around the exponent in this problem, to avoid ambiguity:  y = 2(3)^{x+1} - 4.

The original exponent was x.  This new exponent {x+1} represents a translation of the graph of y = 2(3)^x 1 unit to the left.

That -4 translates this resulting graph 4 units down.


Alex3 years ago
5 0

Answer:

Option D

Step-by-step explanation:

In this question parent graph is y = 2(3)ˣ

and the translated graph is y = 2(3)ˣ⁺¹ -4

Translations done.

(1) Parent graph y = 2(3)ˣ is shifted one unit left on x-axis to form y' = 2(3)ˣ⁺¹

(2) Then y' is shifted 4 units down on y-axis giving the translated form y = 2(3)ˣ⁺¹ -4

Option D is the answer.

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The graph of a line has a slope of 3 and passes through the point (–4, –5).
Alenkinab [10]

Answer

(C) y +5 =3(x+4)

We will use the point-slope formula to solve this problem.

We will use the point-slope formula to solve this problem.(y+5)=3(x+4)

)Explanation:

)Explanation:We can use the point slope formula to solve this problem.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:(y−(−5))=3(x--(4))

=> (<u>y+</u><u>5</u><u>)=3(x</u><u>+</u><u>4</u><u>)</u>

3 0
2 years ago
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Angelina_Jolie [31]

Answer:

C. x+5

Step-by-step explanation:

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5 0
4 years ago
Read 2 more answers
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