The function g (x) = 2x2 - 28x + 3 written in vertex form is g (x) = 2 (x - 7) 2 - 95. Which is one of the transformations applied to the graph of f (x) = x2 to produce the graph of g (x) = 2x2 - 28x + 3?

shifted up 3 units

shifted left 7 units

shifted right 7 units

shifted down 3 units

The vertex form tells us the answer. This is the general vertex form a parabola:

y = a (x-h) ^2 + k

a indicates any stretching or shrinking

h indicates any shifting to the left (if h is positive) or the right (if h is negative)

k indicates any shifting up (if k is positive) or down (if k is negative)

Therefore, the transformation that apply is only

shifted right 7 units