Parabola Coefficient Determination

A parabola has vertex of $ (4,-5) $ and has two $ x $-intercepts, one positive, and one negative. If this parabola is the graph of $ y = ax^2 + bx + c, $ which of $ a, $ $ b, $ and $ c $ must be positive? Enter the coefficients that must be positive, separated by commas. For example, if you think $ a $ and $ c $ must be positive, enter "$ a, $ $ c $", without the quotation marks.

  • 1
  • 2
  • 3
  • +
  • 4
  • 5
  • 6
  • -
  • 7
  • 8
  • 9
  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$