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antoniya [11.8K]
3 years ago
14

I need help again u guys

Mathematics
2 answers:
Aneli [31]3 years ago
4 0

Answer:

x = -3

Step-by-step explanation:

Ostrovityanka [42]3 years ago
3 0
X = -b/2a

X= -(-12)/2(-2)= -3

X= -3

I hope this answers your question and can u please brainliest my answer I would really appreciate it?!
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PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


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Hence the equation of the parabola in vertex form is


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PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


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This will give us,


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