Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)
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Answer:
Step-by-step explanation:
When comparing to standard form of a parabola:
Vertex form of a parabola is: , which is what we are trying to convert this quadratic equation into.
To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: .
Substitute in -8 for b and 2 for a.
Simplify this fraction.
The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.
Simplify.
We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).