[tex] y = -2(x-5)^2 + 7[/tex]
That's vertex form for a parabola [tex]y=a(x-p)^2+q[/tex] and we read off vertex (p,q) as
Answer: Vertex (5,7)
The negative a tells us this is a downward opening parabola (upside down from the usual [tex]y=x^2[/tex]. I remember CUP - Concave Up Positive; here a is negative so not a cup, instead concave down. The same rule applies to second derivatives in calculus so memorize it now and use it later.
Answer: downward
