Parabola-line graph interpretation

Optional extension

The graphs \(y=x^2-4x-5\) and \(y=2x-5\) are shown.

1. Find their intersection points.[2]
2. From the graph estimate solutions of
   1. \(x^2-4x-5=0\), and[2]
   2. \(x^2-4x=4\).[2]
3. State the parabola’s symmetry line.[2]
4. Explain for which \(k\) the equation \(x^2-4x-5=k\) has no real solution.[2]

For graph readings, give values to the nearest 0.1 unit where an exact value cannot be read from the grid. Use the labelled axes and grid provided.