Quadratic Helper Class

Quadratic.py

class Quadratic:
    def __init__(self,a,b,c):
        self.a = a
        self.b = b
        self.c = c
        self.x_vertex = self.find_x_of_vertex()
        self.y_vertex = self.find_y_of_vertex()
        self.vertex = (self.x_vertex,self.y_vertex)
        self.parabola_direction = self.find_parabola_direction()
        self.vertex_form = self.find_vertex_form()
  
    def y_given_x(self,x):
        return (self.a * (x)**2) + (self.b * (x)) + self.c

    def test_x_inequality(self,x,sign):
        res = self.y_given_x(x)
        print(res)
        return eval(f"{res} {sign} 0")

    def find_x_of_vertex(self):
        return -1 * self.b/(2*self.a)

    def find_y_of_vertex(self):
        return self.y_given_x(self.x_vertex)

    def find_parabola_direction(self):
        if self.a > 0:
            return 'upwards'
        elif self.a < 0:
            return 'downwards'
        else:
            return 'a = 0'

    def find_vertex_form(self):
        h_operator = '+' if self.x_vertex < 0 else '-'
        k_operator = '+' if self.y_vertex > 0 else '-'
        return f"y = {self.a}(x {h_operator} {int(abs(self.x_vertex))})^2 {k_operator} {int(abs(self.y_vertex))}"

    def find_discriminant(self):
        return self.b ** 2 - 4 * self.a * self.c