2 years ago

What equation represents y=−3x^2+12x−8 in vertex form?

Mathematics

1 answer:

Savatey [412]2 years ago

7 0

Y=3(x+2)^2-20 hope this is right!

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Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

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The above is a quadratic equation. It can be solved by the formula as follows :

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Here, a = -16, b = 32 and c = 128

$t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s$

Neglecting negative value, the projectile will land after 4 seconds.

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