The equation of a parabola is given. y=14x2−3x+18 what are the coordinates of the focus of the parabola? enter your answer in the boxes.

The coordinates of the focus of the parabola is:

Step-by-step explanation:

We know that for any general equation of the parabola of the type:

The focus of the parabola is given by:

Focus= (h,k+p)

Here we are given a equation of the parabola as:

On changing the equation to general form as follows:

Hence, we have:

Hence,

Hence, focus is:

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