Respuesta :
Answer:
left 1 unit, up 5 units
Step-by-step explanation:
To answer the question:
Which translation maps the graph of the function f(x) = x² onto the function g(x) = x² + 2x + 6?
we need to find the vertex of g(x), as follows:
- x-coordinate of the vertex (h): -b/(2a) = -2/(2*1) = -1
- y-coordinate of the vertex (k): y = (-1)² + 2(-1) + 6 = 5
Therefore, g(x) can be rewritten as:
g(x) = a(x - h)² + k
g(x) = (x + 1)² + 5
which is the equation of f(x) = x² translated 1 unit to the left and 5 units up.
Answer:
Yes, it is for sure 1 unit left 5 up
Step-by-step explanation:
