Without graphing, what does the equation y space equal space left parenthesis y=(x-3)(x+5), tell you about the graph of the function? (be specific - consider the form of the equation)

If we let y be equal to zero, we get the roots of the equation. Because the equation is already in the factored form, we then say that the roots of the equation are x = 3 and x = 5. Another thing that is notable of this equation is that the graph would pass the x-axis at the points 3 and 5. 

This is a quadratic equation because there are two roots and the highest exponent achievable by performing the expansion of the terms is 2. this equation can be of a parabola and the opening is upward because of the positive value of the numerical coefficients both of y and  x in the opposite sides of the equation.