Joe solved and justified each step as shown. identify joe’s error and fix his mistake. step justification given equation multiplication property of equality subtraction property of equality

which  best  describes the transformation from the graph of  f(x) =  x2  to the graph of  f(x) = (x  – 3)2  – 1?   left 3 units, down 1 unitleft 3 units, up 1 unitright 3 units, down 1 unit  right 3 units, up 1 unit

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

Identify the number as a rational or irrational.explain. 127