We did this qs in class so we change the equation into the vertex form

Here is the solution.

Y=3x^2+30x+41
y=3(x^2+10x)+41
Y=(x^2+10x+25-25)+41
Y=3(x+5)^2-34

I understand everything expected I don't know how we get -34, can you explain please?

1 answer

On the third line you have the +25 and -25
they got rid of the -25

To do this they removed it from the bracket to the outside of the function

But since it was in the bracket you cannot forget to multiply by the 3 that was on the outside

This made the -25 a -75....and when you add the -75 and 41 you get -34