Rewrite equation in vertex form y=x^2+4x+2

Steps:

The general vertex form of a parabola is as follows:

where xv is the x coordinate of the vertex, a is the coefficient determining how wide/narrow the parabola is and whether it is open-up (+) or open-down (-), and b is the bias (vertical shift.

Transforming an expression into the vertex form involves completing the square step:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.