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(URGENT!!) Which graph models the function f(x) = -4(2)x? (2 points)

(URGENT!!) Which graph models the function f(x) = -4(2)x? (2 points)-example-1
(URGENT!!) Which graph models the function f(x) = -4(2)x? (2 points)-example-1
(URGENT!!) Which graph models the function f(x) = -4(2)x? (2 points)-example-2
(URGENT!!) Which graph models the function f(x) = -4(2)x? (2 points)-example-3
(URGENT!!) Which graph models the function f(x) = -4(2)x? (2 points)-example-4
User Dave Satch
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2.8k points

1 Answer

23 votes
23 votes

Answer:

2nd Graph

Explanation:

Bases off the graphs, you gave me, I assume your the equation is


f(x) = - 4(2) {}^(x)

The parent equation of this function is


f(x) = b {}^(x)

Let say x=0

Using the rules of exponets, the y value must be 1 so a critical point is

(0,1)

The function is multiplied by -4.

This means the function is stretched in the y direction by 4 and reflected over the x axis. So our new point will be

(0,-4).

The base 2 the function will get compressed by 1/2.

The best graph that represents this is the second graph

User David Plumpton
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2.7k points