If g(x)=x^2-x, what is g(x+2)? please explain step by step

Since g(x+2)

the equation would become g(x-2) = (x+2)^2- (x+2)

Simplify

(x+2)^2 - (x+2)

(x+2)(x+2) - (x+2)

FOIL : (x^2 + 2x + 2x + 4) - (x+2) *dont forgot you need to distribute the negative in the next step*

x^2 + 4x + 4 - x - 2

Like terms : x^2 + 3x + 2

So g(x+2) = x^2 + 3x + 2

g(x)=x^2

Step-by-step explanation:

g(x+2)=x^2+4x+4-(

x+2)

=x^2+5x+6

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: