Question

Identify the Vertex of the quadratic function in vertex form?

y = 3 (x + 2)^2 - 5

Explain step by step

Answer 1

[AI-generated answer — Bot GPT 3.5]

Step 1: The vertex form of a quadratic function is given by

y = a(x - h)^2 + k

where (h, k) represents the vertex of the parabola.

Step 2: In the given equation y = 3(x + 2)^2 - 5, we can rewrite it in vertex form as

y = 3(x - (-2))^2 - 5

Step 3: Comparing this form with the vertex form, we can see that the vertex of this quadratic function is (-2, -5).

Therefore, the vertex of the quadratic function y = 3(x + 2)^2 - 5 is (-2, -5).