F(x) = x2 – 3x – 2 is shifted 4 units right. the result is g(x). what is g(x)? g(x) = (x + 4)2 – 3x – 2 b. g(x) = (x + 4)2 – 3(x + 4) – 2 c. g(x) = (x – 4)2 – 3(x – 4) – 2 d. g(x) = x2 – 3x + 2

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Choice C

Discussion:

We interrupt this Question by a special commercial announcement Consider the simpler case of f(x) = x^2. If we shifted this curve 4 units to the right, then the point x is mapped to x-4.  (f(0) = 0 on the original curve; now f(x-4) = 0 when x =4. So shifting to the right replaces x by x-4.) Now back to our regular TV programming

Shifting f(x) = x^2 -3x - 2 four units to the right produces

g(x) = f(x-4) = (x-4)^2 -3(x-4) -2

This is choice C.

Thank you,

MrB

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: