Answer:
g(x) = 7x² − 56x + 115
Step-by-step explanation:
f(x) = 7x²
This parabola has a vertex of (0, 0).
To shift f(x):
f(x) − k = 7(x − h)²
where h is the horizontal shift and k is the vertical shift.
We want the new vertex to be (4, 3), so we want to shift f(x) 4 units to the right and 3 units up.
g(x) − 3 = 7(x − 4)²
This is in vertex form. We want to write it in standard form. So simplify:
g(x) − 3 = 7(x² − 8x + 16)
g(x) − 3 = 7x² − 56x + 112
g(x) = 7x² − 56x + 115
