Question

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

Answer 1

C.

Explanation:

shifted right 7 units

Answer 2

The general vertex form of a parabola is 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 g(x) = 2(x – 7)^2 – 95; x - 7 = 0; x = 7. Therefore, the graph is shifted right 7 units.