Describe how the graph of the equation relates to the graph of y = x2.
-$$f ( x ) = ( x - 7 ) ^ { 2 } + 3$$
A) a translation 7 units to the left and 3 units down
B) a translation 7 units to the right and 3 units up
C) a translation 3 units to the right and 7 units up
D) a translation 7 units to the left and 3 units up

Question

Quizplus · Accepted Answer

The graph of $f(x) = (x - 7)^2 + 3$ is a translation of the graph of $y = x^2$ 7 units to the right (due to $x - 7$) and 3 units up (due to the $+3$ outside the square).

Describe How the Graph of the Equation Relates to the Graph