Question

Which Exponential function has a initial and child value of 2​

Answer 1

For an exponential function the y-intercept is the "initial value" (not the common ratio).

$y = 2 \times {1}^{x}$

will always be 2. if that's what you need

note that

${1}^{0} = 1$

because anything to the power of zero equals 0 (mathematically it's deciding something by itself)