I've been working with these problems for the past few days and although i managed to solve them all, i'm still not a 100% sure so i'd like someone to clarify for me
What do EACH of these variables mean? And on a graph what do they do?
in the equation y= ab^k(x-d)+c
for example we were given a problem y=2-3(5^x+4)...here i was having trouble determining which variable was which...untill i looked at the base function which was y=5^x and realized they are of the form y=b^x, and realized that 5 was the B value...and 2 was the C value in y=ab^k(x-d)+c they had just re arranged it to confuse me
or this one that gave me quite a bit of trouble...
How would one know which is which here?
i suppose -4 is the c value...and 32 is the k value? and 1/5 is the b value or a value? and the d value is 1 because there's nothing next to the x which implies a 1.
the 1/5 was the one that confused me the most i couldnt determine weather it was the a or the b value...and i'm not even sure what the b value does....
sorry if this is not the most coherent question
The Attempt at a Solution
the a value stretches the graph vertically, and if negative reflects on the x axis
the d value determines if the graph will shift on the x axis(left or right)
the c value determines if the graph will shift on the y axis(up or down)
the k value determines the stretches of the graph horizontally and if negative reflection on the y axis....
still got no clue what the b value does...