Rewrite the equation by completing the square.
x² + 4x = 0

(x+2)^2 = 4

Step-by-step explanation:

x² + 4x = 0

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x+4 = 0+4

(x+4/2)^2 = 4

(x+2)^2 = 4

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.