The image contains two quadratic equations with tasks asking for identifying $a$, $b$, and $c$; finding the roots, the axis of symmetry, and the vertex.

Let us analyze and solve the equations step by step:

7. Given: $-x^2 + 4x + 5$

1. Identify $a$, $b$, and $c$:

   • The equation is in the form $ax^2 + bx + c$.
   • Here, $a = -1$, $b = 4$, $c = 5$.

2. Find the roots (solutions to $ax^2 + bx + c = 0$): Use the quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ Substituting: [ x = \frac{-4 \pm \sqrt{4^2 - 4(-1)(5)}}{2