Question

the graph of $y = x^2$ is shown on the grid below.
graph of $y = x^2$
which of the following is the graph of $y = (x + 4)^2 + 2$?
choose 1 answer:
a graph a
b graph b
c graph c
d graph d

Explanation:

The parent function \(y = x^2\) has vertex (0,0). For \(y=(x+4)^2 +2\), \(x+4 = x - (-4)\) shifts the vertex left 4 units (to x=-4), and the +2 shifts it up 2 units (to y=2). The vertex of the correct graph is (-4,2), which matches option B.

Answer:

B. [Graph B as described: vertex at (-4, 2), shifted left 4 and up 2 from y=x²]