Question

Find the value of a so that the parabola f(x)=a(x-1)^2+2 contains the point (-2,4)

Answer 1

replace \(x\) by -2, set the result equal to 4 and solve for \(a\)

Answer 2

if \((-2,4)\) is on the graph this means \(f(-2)=4\)
so
\[f(-2)=4=a(-2-1)^2+2\] solve for \(a\)