Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$
-$$f ( x ) = x ^ { 2 } + 6$$
A) a translation 6 units to the left
B) a translation 6 units down
C) a translation 6 units up
D) a translation 6 units to the right

Question

Quizplus · Accepted Answer

The graph of $f(x) = x^2 + 6$ is a vertical translation of the graph of $y = x^2$ upwards by 6 units. This is because adding a constant to the function value shifts the graph vertically by that constant.

Describe How the Graph of the Equation Relates to the Graph