Question

Which functions graph is a translation of the graph of f(x)= 3x^2 + 4 seven units down?

Answer 1

Answer:

Option C

Step-by-step explanation:

Consider the function f ( x ) = 3x^2 + 4;

$f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),$

Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;

$4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C$

* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane

Hope that helps!