Final answer:
To solve the quadratic function Y=x^2-2x-48 by factoring, find two numbers that multiply to -48 and add up to -2. Then set each factor equal to 0 and solve for x.
Step-by-step explanation:
To solve the quadratic function Y=x^2-2x-48 by factoring, we need to find two numbers that multiply to -48 and add up to -2. In this case, the numbers are -8 and 6. So, we can rewrite the equation as Y=(x-8)(x+6). Now we set each factor equal to 0 and solve for x. Therefore, we have two possible solutions: x=8 and x=-6.