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 t
o 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 general vertex form of a parabola is <span>y = a(x-h)^2 + k
Any changes in "a" denotes shrinking or stretching Changes in "h" denotes being shifted to the left or to the right. If the value of "h" when x - h = 0 is positive, then it is shifted to the right. Otherwise, it is shifted to the left.
As seen in the given vertex form </span><span>g(x) = 2(x – 7)^2 – 95; x - 7 = 0; x = 7. Therefore, the graph is shifted right 7 units.</span>