Question 254298
here is the equation:
{{{y=0.5x^2+6x+10}}}
step 1 - factor .5 out of the first two terms like this:
{{{y=0.5(x^2+12x+ _____) + 10 - ______}}}
The blanks are waiting for numbers as you complete the square.
step 2 - take 1/2 of the middle term and put that answer in the first blank. LIke this:
{{{y=0.5(x^2+12x+ 6^2) + 10 - ______}}}
step 3 - multiply 36 by 1/2 to get 18. put this in the second blank. Notice the sign.
{{{y=0.5(x^2+12x+ 6^2) + 10 - 18}}}
step 4 - rewrite the first (_) as a quantity squared and simplify that last 2 numbers as
{{{y=0.5(x+6)^2 - 8}}}
This is in vertex form.
The vertex is (-6, -8)
Y-intercept is when x = 0.
(0,10)