Answer:
Vertex: (-2, 3)
Y-intercept: (0, -1)
Step-by-step explanation:
The vertex form of the quadratic function is f(x) = a(x - h)² + k, where:
(h, k) = vertex
a = determines the direction of the opening of the graph (a < 1 = the graph opens down; a > 1 = graph opens upward).
h = determines the horizontal translation of the graph.
k = determines the vertical translation of the graph.
Given the quadratic function in vertex form, f(x) = -(x + 2)² + 3, where: a = -1, h = -2, and k = 3.
The vertex (h, k ) of the graph occurs at point (-2, 3).
The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. In order to find out the y-intercept, set x = 0:
f(0) = -(0 + 2)² + 3
f(0) = -(2)² + 3
f(0) = -4 + 3
f(0) = -1
The y-intercept of the graph is (0, -1).
