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Do you know what is vertex?

A vertex can be said as corners of intersections or maximum where the line switches directions.

4x^2-y+6=8x
Arrange the equation to quadratic equation form,
\[y=4 x^2-8 x+6\]

4(x^2-2x)+6
4(x-1)^2-1(4)+6
4(x-1)^2+2

formula for vertic
x=-b/2a
then put x in equation to find y
x,y will be vertix

first arrange equ like
y=ax^2+bx+constant

can you solve it now?

tell me so that i solve it for you if u dont

i solved it