Would the vertex of
f(x)= -(x+3)^2+4 be
(-4,3)?
To determine the vertex of the function f(x) = -(x + 3)^2 + 4, you can follow these steps:
Step 1: Identify the vertex form of the quadratic function, which is given by f(x) = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.
Step 2: In this case, the given function f(x) = -(x + 3)^2 + 4 is already in vertex form, where h = -3 represents the horizontal shift, and k = 4 represents the vertical shift.
Step 3: The vertex of the parabola is given by the values (h, k). Therefore, the vertex of f(x) = -(x + 3)^2 + 4 is (-3, 4), not (-4, 3).
Hence, the vertex of the function f(x) = -(x + 3)^2 + 4 is (-3, 4).