Question

What will the equation be if the following equation is translated 6 units left and 3 units up?


Equation: f(x)=x^2

Answer 1

Answer:

g(x) = (x+3)²

Step-by-step explanation:

You start at point ( 0,0 )

The graph of f(x) is is shifted 3 units to the left to obtain the graph of g(x)...

Here is what you do:

(x,y) -----> (x-3,y)

Applying the rule of the translation at the vertex of the graph of f(x)

( 0,0 ) ------> (0-3,0)

( 0,0 )-------> (-3,0)

The vertex of the graph of g(x) is the point ( -3,0 )

So the equation of g(x) would be equaled to:

g(x) = (x+3)²