If f(x)=x^2 - 12, solve for f (x+4)

Step-by-step explanation:

Instead of x substitute (x + 4) to f(x) = x² - 12

f(x + 4) = (x + 4)² - 12        use (a + b)² = a² + 2ab + b²

f(x + 4) = x² + 2(x)(4) + 4² - 12

f(x + 4) = x² + 8x + 16 - 12

f(x + 4) = x² + 8x + 4

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: