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Lapatulllka [165]
3 years ago
7

The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

B and C

Step-by-step explanation:

There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.

Graph

I'll try to do both. First the graph. (See below)

  • The red line is f(x)
  • The blue line is g(x)

The graph tells us that the line is shifted

  • 2 units up (blue is above red) and
  • 3 units to the left (blue is to the left of red)

Algebra.

g(x) = 2^[(x - 1) + 3] + 3 (+ 2)

The rewrite shows that +3 means left. +2 means up.


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From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and  (-2,4) respectively.

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