Halla el eje de simetria y las coordenadas del vertice de cada una de las siguientes parabolas sin representarlas graficamentea?

Halla el eje de simetríay las coordenadas del vérticede cada una de las siguientes parábolassin representarlas gráficamente

a.

Y = 2x ^ 2 + 4x - 6

<img src="https://tex.z-dn.net/?f=y%20%3D%200%0A%0A2x%5E2%2B4x-6%3D0" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BPara%5C%3A%7D%5Cquad%20a%3D2%2C%5C%3Ab%3D4%2C%5C%3Ac%3D-6%3A%5Cquad%20x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-4%5Cpm%20%5Csqrt%7B4%5E2-4%5Ccdot%20%5C%3A2%5Cleft%28-6%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A2%7D" />

<img src="https://tex.z-dn.net/?f=x_%7B1%7D%3D%5Cfrac%7B-4%2B%5Csqrt%7B4%5E2-4%5Ccdot%20%5C%3A2%5Cleft%28-6%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A2%7D%3D%5Cquad%201" />

<img src="https://tex.z-dn.net/?f=x_%7B2%7D%3D%5Cfrac%7B-4-%5Csqrt%7B4%5E2-4%5Ccdot%20%5C%3A2%5Cleft%28-6%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A2%7D%3D%5Cquad%20-3" />

<img src="https://tex.z-dn.net/?f=%5Cleft%281%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cleft%28-3%2C%5C%3A0%5Cright%29" />

<img src="https://tex.z-dn.net/?f=x%3D0%0A%0A%5C%3Ay%3D2%5Ccdot%20%5C%3A0%5E2%2B4%5Ccdot%20%5C%3A0-6%3A%5Cquad%20y%3D-6" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BX%5C%3Aintersecta%7D%3A%5C%3A%5Cleft%281%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cleft%28-3%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cmathrm%7BY%5C%3Aintersecta%7D%3A%5C%3A%5Cleft%280%2C%5C%3A-6%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BPara%5C%3Auna%5C%3Aparabola%7D%5C%3Aax%5E2%2Bbx%2Bc%5C%3A%5Cmathrm%7Blas%5C%3Ax%5C%3Adel%5C%3Avertice%5C%3Aequivalen%5C%3Aa%7D%5C%3A%5Cfrac%7B-b%7D%7B2a%7D%0A%0Aa%3D2%2C%5C%3Ab%3D4" />

<img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-4%7D%7B2%5Ccdot%20%5C%3A2%7D%20%3D%20-1%0A%0Ay%3D2%5Cleft%28-1%5Cright%29%5E2%2B4%5Cleft%28-1%5Cright%29-6%20%3D%20-8" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BPor%5C%3Alo%5C%3Atanto%2C%5C%3Ael%5C%3Avertice%5C%3Ade%5C%3Ala%5C%3Aparabola%5C%3Aes%7D%0A%0A%5Cleft%28-1%2C%5C%3A-8%5Cright%29" />

b.

Y = - x ^ 2 - 8x + 9

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c.

Y = - 2x ^ 2 + x

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d.

Y = x ^ 2 + 8x + 15

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