2. Then factor out a -6 while putting a -6 on the other side. -6(x^2-4x___)=12 -6(__)

3. divide the -4 by 2 then square it which becomes -4/2=-2^2=4

4. Plug the four into both sides and then simplify.

-6(x^2-4x+4)=12-6(4)

5. The equation then becomes -6(x-2)^2=-12

6. Divide -6 so the equation becomes (x-2)^2=2

7. Square root both sides which becomes x-2= square root of 2

8. Once the square root has been distributed the answer becomes + or - square root of 2.

9. Add 2 to the other side.

10. The equation is now x= 2+ square root of 2

and x= 2- square root of 2. These are the x intercepts.

To find the parent equation you take the equation -6(x-2)^2=-12 and add 12

To find the vertex you use the form (h,k) which is 2,12

To find the y intercept you plug in 0 for all x values of the standard equation.

To find the axis, the value is h of h,k which is 2

The problem is about finding the parent graph equation. Also other things that must be found are the vertex, and whether it is max or min. The y-intercept must be found along with the axis and the x intercepts.

The viewer needs to pay close attention to the steps of whats being factored and the steps taken afterwards. Important things to take note is the b/2^2 part. Another thing to pay close attention is when you simplify you can simply take b/2 and use that as the equation.

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