What statement correctly describes the key features of the graph of f(x) = 4(1/2)^x + 1 − 3?

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What statement correctly describes the key features of the graph of f(x) = 4(1/2)^x + 1 − 3?

Mathematics
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Y-intercept of (0, −1), starts up on the left, gets closer to y = −3 on the right Y-intercept of (0, −1), starts down on the left, gets closer to y = −3 on the right Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right
  • phi
is this \[ y = \left(\frac{1}{2}\right)^{x+1} -3 \]?

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Other answers:

you forgot the 4 in front of the 1/2
other than that, you were right
  • phi
\[ y = 4\left(\frac{1}{2}\right)^{x+1} -3 \]
yes! :)
  • phi
the y-intercept is the y value when x is 0 any idea what y is when x=0?
1?
  • phi
you erase the x and put 0 in its place in the formula what do you get ?
ok hold on:)
0+1=1 right?
-1! sorry
  • phi
the exponent x+1 becomes 0+1 or just 1 now do (1/2)^ 1 which is just 1/2 then do 1/2 * 4 - 3 or 2 - 3 or -1
  • phi
follow?
yes okay so now we can elimate some answer choices and yes i do
  • phi
yes, it's A or B
  • phi
what do you get for x= -2 any idea?
hold on:)
-5?
  • phi
x+1 becomes -2 + 1 = -1 now do (1/2)^(-1) the negative exponent means you can "flip" the fraction and make the exponent positive so you get 2^1 or just 2 now do 4*2-3 = 8-3 = 5
Oh! I get it :)
  • phi
at x=2, y=5 at x=0, y= -1 starts high on the left and gets smaller (asymptotes to -3)
  • phi
**x=-2 , y=5
I see, I see
so would it be B?
  • phi
yes, I think B. The language is not very clear. (whoever wrote it flunked basic English)
hahah! I totally agree<3 :D

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