Question

Point A is at (4,5) and lies on the graph of quadratic function f. If g(x)=f(2x), determine the location of this point on the graph of function g.

Answer 1

$\bf \stackrel{f(x)}{(\stackrel{x}{4}~~,~~\stackrel{y}{5})}\qquad \qquad \qquad \stackrel{g(x)}{(\stackrel{2x}{2\cdot 4}~~,~~\stackrel{y}{5})}\implies (8~~,~~5)$