We can express the equation of a parabola in the form:
[tex]y=a(x-h)^2+k[/tex]Let's identify the constants a,h and k for our case:
[tex]y=-(x+3)^2+5[/tex]As you can see, the term on the parentheses has a minus sign, which means that this term is being multiplied by a -1, hence:
a= -1
Inside the parentheses, there's a 3 that is being added to x instead of being subtracted, this means that h is -3, because x-(-3)=x+3
h= -3
And as we can see, 5 is added to the first term, then:
k=5
