Answer:
Step-by-step explanation:
Given expression:
The given expression needs to be simplified to the form
Applying the exponents rule to simplify.
Writing all numbers as product of 3.
⇒
Writing each in exponents form.
⇒
Using power of a power rule
⇒
Using multiplication rule of exponents
⇒
⇒
So we have
∴
The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
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.
brainly.com/question/8495504
Make an equation where
Y =
(any number not zero) times X² + (any number at all) times X + (any number at all)
The graph of that equation is guaranteed to be a parabola.