Question

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

Answer 1

@phi

Answer 2

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

Answer 3

is this
\[ y = \left(\frac{1}{2}\right)^{x+1} -3 \]?

Answer 4

you forgot the 4 in front of the 1/2

Answer 5

other than that, you were right

Answer 6

\[ y = 4\left(\frac{1}{2}\right)^{x+1} -3 \]

Answer 7

yes! :)

Answer 8

the y-intercept is the y value when x is 0
any idea what y is when x=0?

Answer 9

1?

Answer 10

you erase the x and put 0 in its place in the formula
what do you get ?

Answer 11

ok hold on:)

Answer 12

0+1=1 right?

Answer 13

-1! sorry

Answer 14

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

Answer 15

follow?

Answer 16

yes okay so now we can elimate some answer choices and yes i do

Answer 17

yes, it's A or B

Answer 18

what do you get for x= -2
any idea?

Answer 19

hold on:)

Answer 20

-5?

Answer 21

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

Answer 22

Oh! I get it :)

Answer 23

at x=2, y=5
at x=0, y= -1

starts high on the left and gets smaller (asymptotes to -3)

Answer 24

**x=-2 , y=5

Answer 25

I see, I see

Answer 26

so would it be B?

Answer 27

yes, I think B. The language is not very clear. (whoever wrote it flunked basic English)

Answer 28

hahah! I totally agree<3 :D