Question

the graph of a quadratic functions (a parabola) has x-intercepts -1 and 3 and a range consisting of all numbers or equal to 4. Determine an expression for the function

Answer 1

or equal means >= or <=?

Answer 2

less than or equal to 4

Answer 3

x-intercepts are the roots of function so y=(x+1)(x-3)=x^2-2x-3

Answer 4

x^2-2x-3=x^2-2x+1-4=(x-1)^2-4
so f(x)=-((x-1)^2-4)=-x^2+2x+3

Answer 5

the - sign added to equation for the "less than or equal to 4"