Quadratic function g(x) has the equation g(x) = -x^2 + 4x – 3. Which of the following statements are true regarding functions f(x) and g(x)?
Select all that apply.

1. The y-intercepts of functions f(x) and g(x) are opposites.

2.Functions f(x) and g(x) both have an x-intercept at (1,0)

3. Functions f(x) and g(x) both have an x-intercept at (-3,0)

4. Function f(x) has a larger maximum value than function g(x)

5. The line of symmetry of g(x) is y=1.​