Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x factor a out of the first two terms. f(x) = 5(x2 8x) form a perfect square trinomial. (eight-halves) squared = 16 f(x) = 5(x2 8x 16) – 5(16) what is the function written in vertex form?

Sagot :

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

https://brainly.com/question/8495504

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.