Question

The functions f(x) and g(x) are described below.

f(x) = 32x + 8
g(x) = 32x - 9

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Answer 1

You might find the answer by evaluating both functions at x=0 and finding the difference

Answer 2

Ok, so it's the plug 0 in for y and 0 in for x thing right?

Answer 3

There is no y. What does f(0) =, plug 0 into 32x+8
Then do the same for g(0)=, 32x-9
The subtract g(0) from f(0) to get how many units you shift down. Remember what happens when you subtract a negative integer.

Answer 4

I ended up w/ f(x) =8, and g(x) = -9.

Answer 5

You got it, how what is the differnce? What is 8-(-9)?

Answer 6

If you have two negatives, they turn into a +, so it would be 8 + 9 = 17! But, why am I subtracting 8 from -9? Is it because it's asking me to go down, which means subtract?

Answer 7

Well it asked how many units you shift it down. At x= 0 it is at 8. For g(x) it is at -9 so you shift it down 8 to get to 0, but you still have to shift it down 9 more unites to get to -9. The total number of unites you have to shift down starting at 8 to get to -9 is 17.

Answer 8

Oh, okay! I understand, so I need to go down 8, then go down 9. On a graph, it would look like -17, when in reality, it's 17! Ok, I understand thank you! Here's a medal for the great help!

Answer 9

so the answer is 17 ?

Answer 10

Can't say, sorry. ;___;