Question

Write the quadratic f(x)=-3x² +12x-15 in vertex form: f(x)

Answer 1

To write the quadratic function f(x) = -3x² + 12x - 15 in vertex form, we need to complete the square.

Step-by-step explanation:

To write the quadratic function f(x) = -3x² + 12x - 15 in vertex form, we need to complete the square. The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

Let's complete the square:

f(x) = -3x² + 12x - 15

= -3(x² - 4x) - 15

= -3(x² - 4x + 4) - 15 + 12

= -3(x - 2)² - 3

So, the quadratic function f(x) = -3x² + 12x - 15 in vertex form is f(x) = -3(x - 2)² - 3.