Question

find the vertex: 4x^2-y+6=8x

Answer 1

Do you know what is vertex?

Answer 2

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

Answer 3

So to find the maximum point you have to find the maximum or minimum point. You can do this by completing the square.

Answer 4

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

Answer 5

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

Answer 6

4(x-1)^2+2
You can determine the coordinates from here,
(x-1)=0
x=1
-------------------------------------------
y=2

So, (1,2)

Answer 7

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

Answer 8

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

Answer 9

can you solve it now?

Answer 10

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

Answer 11

i solved it