The exponential function, f(x) = 2x, undergoes two transformations to g(x) = 5 • 2x – 3. how does the graph change? select all that apply. a. it is shifted right. b. it is vertically compressed. c. it is flipped over the x-axis. d. it is shifted down. e. it is vertically stretched.

Option (d) and (e) is correct.

Graph is shifted down and vertically stretched  

Step-by-step explanation:

Given : The exponential function undergoes two transformations to

We have to choose the how the graph changes.

Consider the given exponential function .

Vertically compressed or stretched  

For a graph y = f(x),

A vertically compression (stretched) of a graph is compressing the graph toward x- axis.

•if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

•if 0 < k < 1 if 0 < k < 1 , the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.  

•if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

Here, k = 5  

So the graph will be vertically stretched

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.  

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step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry