I need the steps and answer for questions 1,2,3 thank you.

1. Determine a quadratic function in vertex form that has the given characteristics: its vertex at (4, 1) and has a y-intercept of (0, -15)

2. Determine the following for the quadratic function y = x2 - 8x + 15 by completing the square. Show your work. Draw a graph.

the coordinates of the vertex the equation of the axis of symmetry the x-intercepts and y-intercept the direction of opening the maximum or minimum value the domain and range

3. Use the quadratic formula to solve the quadratic equation. Express answers as exact values in simplest form. (2 marks) x2 - 10x + 23 = 0