justine graphs the function f(x) = (x – 7)2 – 1. on the same grid, she graphs the function g(x) = (x 6)2 – 3. which transformation will map f(x) on to g(x)? left 13 units, down 2 units right 13 units, down 2 units left 13 units, up 2 units right 13 units, up 2 units
Answer:
\(13\) units to the left and \(2\) units down
Step-by-step explanation:
we have
\(f(x)=(x-7)^{2}-1\)
This is a vertical parabola open upward with the vertex at point \((7,-1)\)
\(g(x)=(x+6)^{2}-3\)
This is a vertical parabola open upward with the vertex at point \((-6,-3)\)
The rule of the transformation is
\((x,y)-----> (x-13,y-2)\)
That means
The translation is \(13\) units to the left and \(2\) units down