Answer:
y = 4[tex](2)^{x}[/tex]
Step-by-step explanation:
An exponential function in standard form is
y = a[tex]b^{x}[/tex]
Substitute points from the graph into the equation to find a and b
Using (0, 4 ), then
4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ], so
a = 4
y = 4[tex]b^{x}[/tex]
Using (1, 8 ), then
8 = 4[tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
b = 2
y = 4 [tex](2)^{x}[/tex] ← exponential equation
