Question

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 5, 8), has a vertex at (negative 3, 4), and goes through (negative 1, 8).

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4

Answer 1

A. left 3, up 4

Explanation:

Answer 2

Look at the lowest point of the line ( the bottom of the u)

On f(x) the u is at the point (0,0)

On g(x) the u is at point ( -3,4)

This means it shifted to the left 3 units and up 4 units.

The answer is left 3, up 4