Answer:
1) The parabola equation faces up
2) The y-intercept = a·b
3) The zeros are x = a and x = b
Step-by-step explanation:
1) The given information are;
f(x) = (x - a)·(x - b) which gives;
f(x) = x² - (b+a)·x + a·b
For an equation of the form a·x² - b·x + c, if a is positive, then the parabola faces up, therefore, the parabola equation, x² - (b+a)·x + ab where a is equivalent to +1 faces up
2) The y-intercept is given at x = 0, which gives;
f(0) = 0² - (b+a)·0 + a·b
The y-intercept = a·b
3) From f(x) = (x - a)·(x - b), when f(x) = 0, we have either;
(x - a) = 0 or (x - b) = 0
Therefore;
The zeros are x = a and x = b
