Answer:
Step-by-step explanation:
-7x+4=18
-7x=14
Divide-7 on both sides of the equal sign which is going to leave you with x=-2
The vertex of the function is (-6,-36).
<u>Step-by-step explanation:</u>
f(x) = x²+ 12x
From the above function, we can find the x- coordinate of the vertex as,
x = -b/2a
Here a = 1, b = 12
Plugin the values as,
x = -12 /(2×1) = -6
Now plug in the x value in the above function, we will get y as,
f(x) = y = x² + 12x = (-6)² + 12(-6)
= 36-72 = -36
So the vertex is (-6, -36).
The axis of symmetry of a parabola is a line that divides it into two similar halves and this axis always goes through the vertex.
To find the equation of the line that represents the symmetry of the curve, suppose a parabola of the form 
Then, deriving y with respect to x we have:

By matching dy / dx to 0 we have and by clearing x we have:

This equation allows us to find the axis of symmetry for any quadratic function
Then for the first function of the image.
The axis of symmetry is:


For the second function of the image:


For the third function the axis of symmetry is observed with the naked eye, is the line of equation:

Hi! Sorry, it would've taken too long to type out, so I wrote it and have the attachment. Good luck!