By using the information given on the graph, we can see that a = 3.
How to find the value of a?
Here we have an exponential of the form:
[tex]y = p*a^x[/tex]
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
[tex]4 = p*a^0\\\\36 = p*a^2[/tex]
From the first equation we get that p = 4, replacing that on the second one we get:
[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]
So we conclude that a = 3.
If you want to learn more about exponential equations:
https://brainly.com/question/11832081
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