Ineed with these two math problems plz. show your work

Find the vertex of the function given below y=x^2-6x+1

If the speed of an electromagnetic wave is 100,000 cm/s and its wavelength is 100 cm, what is its frequency? a) 100,000 cycles per second (hz) b) 1 × 10-3 cycles per second (hz) c) 10,000,000 cycles per second (hz) d) 1,000 cycles per second (hz)

What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)