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Pavel [41]
3 years ago
11

Y = -5 (x + 2)^2 - 10 Convert the equation from vertex form to standard form.

Mathematics
1 answer:
laila [671]3 years ago
5 0

Given:

The vertex form of a quadratic equation is

y=-5(x+2)^2-10

To find:

The standard form of the given quadratic equation.

Solution:

We have,

y=-5(x+2)^2-10

Using the formula (a+b)^2=a^2+2ab+b^2, we get

y=-5(x^2+2(x)(2)+(2)^2)-10

y=-5(x^2+4x+4)-10

Using distributive property, we get

y=-5x^2-20x-20-10

y=-5x^2-20x-30

Therefore, the standard form of the given equation is y=-5x^2-20x-30.

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