Question 150225
Here's a graph of the function
{{{y=(x+6)^2/2+4}}}
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{{{drawing( 300, 300, -10, 10, -10, 10,grid( 1 ),graph( 300, 300, -10, 10, -10, 10, .5*(x+6)^2+4)) }}}
Let's check your answers.
1. Vertex:(-6,4). Correct.
2. Line of symmetry:x=-6. Correct.
3. Max/Min value:f(-6)=4. Correct.
4. Max or Min:Maximum. Incorrect. 
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This is determined by the sign of the coefficient of {{{x^2}}}
If it's positive, like in this case({{{1/2}}}), the parabola opens up, minimum value occurs. 
If it's negative, unlike this case, the parabola opens down, maximum value occurs.