What function is shown in the graph?
A) y = -2x
B) y = 2-x
C) y = 2x – 5
D) y = 2x – 5

Answer:
[tex]y=-2^x[/tex]
Step-by-step explanation:
The parent function of the given graph is y=2^x because all the given options have basic exponent 2^x
LEts take the basic function as [tex]y=a(2)^x[/tex]
To find the value of 'a', pick a point from the given graph
LEts pick (0,-1), plug in the values and find out 'a'
[tex]y=a(2)^x[/tex]
[tex]-1=a(2)^0[/tex]
a=-1
The equation becomes
[tex]y=-1(2)^x[/tex]
[tex]y=-2^x[/tex]