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## Homework Statement

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?

**a**

b

d

c

k

b

d

c

k

in the equation y= ab^k(x-d)+c

## Homework Equations

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...

**y=1/5(32^x)-4..**

How would one know which is which here?

i suppose -4 is the c value...and 32 is the k value?

**and the d value is 1 because there's nothing next to the x which implies a 1.**

__and 1/5 is the b value or a value?__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...