How do I find the equation for a parabola

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

Answer:

The easiest way to find the equation of a parabola is by using your knowledge of a special point, called the vertex, which is located on the parabola itself.

Step-by-step explanation:

If you see a quadratic equation in two variables, of the form y = ax2 + bx + c, where a ≠ 0, then congratulations! You've found a parabola. The quadratic equation is sometimes also known as the "standard form" formula of a parabola.

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<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

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Comparing this expression with the expression we're provided with:

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we see that:

$a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\$

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Learn more about perfect square trinomials here:

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