What is the graph of #y=-3/(x+5)+7#?

The graph of the equation ( y = -\frac{3}{x + 5} + 7 ) is a hyperbola. It has a vertical asymptote at ( x = -5 ) and a horizontal asymptote at ( y = 7 ). The hyperbola opens downwards and approaches the vertical asymptote as ( x ) approaches negative infinity. It approaches the horizontal asymptote as ( x ) approaches positive or negative infinity. The graph is symmetric about the line ( y = 7 ) and has branches in the second and fourth quadrants.

The graph of ( y = -\frac{3}{x+5} + 7 ) is a hyperbola. It has a vertical asymptote at ( x = -5 ) and a horizontal asymptote at ( y = 7 ). As ( x ) approaches negative infinity, ( y ) approaches 7. As ( x ) approaches positive infinity, ( y ) approaches 7 as well. The graph will never touch or cross the vertical asymptote ( x = -5 ) or the horizontal asymptote ( y = 7 ).