The required steps are explained below to convert the quadratic function into a perfect square.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have

Add and subtract the half of the square the coefficient of x,

Then we have

These are the required step to get the perfect square of the quadratic function.
More about the parabola link is given below.
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Answer:
Up
Step-by-step explanation:
Here the easy rules to remember the orientation of the parabolas are
a) If x is squared it opens up or down. And its coefficient of {![x^{2}[tex] is negative it opens down.b) If y is squared it opens side ways right or left. It its coefficient of [tex]y^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%5Btex%5D%20is%20negative%20it%20opens%20down.%3C%2Fp%3E%3Cp%3Eb%29%20If%20y%20is%20squared%20it%20opens%20side%20ways%20right%20or%20left.%20It%20its%20coefficient%20of%20%5Btex%5Dy%5E%7B2%7D)
Hence in our equation of parabola

x is squared and its coefficient is positive , hence it opens up towards positive y axis.
Answer:
Step-by-step explanation:
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Answer:
a^3b + 2a^2b^2 + ab^3
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + b^2
ab(a^2 + 2ab + b^2)
= a^3b + 2a^2b^2 + ab^3