a. You can use a table to find the y-intercept by looking at the y when x is 0. You can find the growth factor from the table by dividing two x's and two y's right in above each other. Then, the division of y over x is the growth factor. On a graph, you basically do the same as a table. Find two points preferably right next to each other. Then the division of the y's over the x's is the growth factor. The y-intercept is found when the x coordinate is 0. The initial equation is y=a(b^x). The a is the y-intercept which is just plainly stated. The b is the growth factor which is also plainly stated.
b. As I said in letter 1a. The variable a is the y-intercept. If you know the y-intercept you can plug it in. For example, let's say 2 is the y-intercept. This is how much of the equation you would have. y=2(b^x). B is the growth factor, and same as before just plug it into b. Let's say 3 is the growth factor. The equation now would be y=2(3^x). Now the equation is complete.
2)
a. In the equation y=a(b^x), the a is the initial amount or y-intercept. The b is growth factor.
b. The y-intercept or a is represents how up or down the curved line is.
c. The growth factor or b is represented the steepness of the curved line.
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