Search over 10,000 free study notes

For y = f(x)+4: the graph undergoes a translation of (0,4) For y = f(x-5): the graph undergoes a translation of (5,0) For y = -f(x+4): the graph is reflected w.r.t the x-axis and translated by (-4,0)*imag...

For me, being a doctor is yes about having a great interest and knowledge of human biology. Human biology is of course what first got me excited about the field of medicine and remains a keen interest of ...

The ways to complete the first one is to realise that it involves a difference of two squares. If you were to see (X^2) with a constant (number), you know they have no factor in common, meaning the two te...

Mn²⁺ + 4H₂O => MnO^{​​​​​}₄^- + 8H⁺  + 5e^-

The proton's relative charge is +1 The neutron's relative charge is 0 The electron's relative charge is -1.