Answer:
Step-by-step explanation:
Exponential equation:
[tex]\boxed{y=a*b^{x}}[/tex]
Choose the point whose x-coordiante is 0, so that we can find the value of a. (0,2)
[tex]2 = a*b^0\\\\2 = a*1 \ [\text{\bf any \ variable raised to 0 is 1}][/tex]
[tex]\sf \boxed{a = 2}[/tex]
Now, choose (1 , 1) and find the value of b
[tex]1 = 2*b^{1}\\\\1 = 2*b\\\\\dfrac{1}{2}=b[/tex]
Exponential equation:
[tex]\bf \boxed{y =2* \left(\dfrac{1}{2}\right)^{x}}[/tex]
