Question

Determine the equation of a quadratic function that satisfies each set of conditions.

a) x-intercepts 1 and -1, y-intercept 3
b) x-intercept 3, and passing through the point (1, -2)
c) x-intercepts -1/2 and 2, y-intercept 4

Please explain your answers.

Answer 1

a) start with

y = a(x-1)(x+1), then put (0,3) into that to find a

c) do it the same as a)

b) not enough information unless your point (1,-2) is the vertex.

Answer 2

b) can be satisified by 2x^2-3x+3=y but it may be satisfied by other equations.