Final answer:
To determine whether Noah is correct without graphing, we can analyze the equation y=(x-1)(x+6) and set y=0 to find the x-intercepts.
Step-by-step explanation:
To determine whether Noah is correct without graphing, we can analyze the equation y=(x-1)(x+6).
This equation represents a parabola because it is in the form of y=ax^2+bx+c, where a is not equal to zero.
By analyzing the equation, we can determine that the x-intercepts are at (1,0) and (-6,0) by setting y=0 and solving for x.