Write an equation of a quadratic function with -2 and 6 as x-intercepts in factored form, standard form, and vertex form. Graph the equation.

Question

Find the domain, range, x-intercept, y-intercept, vertex, axis of symmetry, Factored Form x-intercept form, Vertex form, and Standard Form.

Answer 1

y = (x+2)(x-6) = x^2 -4x - 12  <--- factored form

 

Standard form:

 

  x^2 - 4x - y = 12

 

 

Vertex form:

    y = x^2 - 4x + 4 -4 - 12 <--- completes the square

 

      = (x - 2)^2 - 16

 

Vertex is (2,-16)

Domain is all reals;

Range is (-16, infinity)

y-intercept is (0,-12)

symmetry line x=-2