Question

Rewrite quadratic function in vertex form calculator.

A) Complete the square to rewrite the quadratic function.
B) Vertex form is only applicable to linear functions.
C) Quadratic functions cannot be expressed in vertex form.
D) Multiply the quadratic term by a constant to find the vertex form.

Answer 1

The quadratic function can be rewritten in vertex form by completing the square and identifying the values of a, h, and k. Let's take the example of y = x^2 + 4x + 5 to understand the steps of rewriting quadratic functions in vertex form.

Step-by-step explanation:

The quadratic function can be rewritten in vertex form by completing the square. The vertex form of a quadratic function is given by f(x) = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex. To rewrite the quadratic function in vertex form, follow these steps:

1. Complete the square to convert the quadratic function to the form y = a(x - h)^2 + k.
2. Identify the values of a, h, and k to determine the equation in vertex form.

For example, let's rewrite the quadratic function y = x^2 + 4x + 5 in vertex form:

1. Complete the square: y = (x + 2)^2 + 1
2. The equation in vertex form is y = (x + 2)^2 + 1, where the vertex is (-2, 1).