gilfam1234
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  • 16-01-2022
  • Mathematics
contestada

write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (-1, -2)

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Аноним Аноним
  • 16-01-2022

Step-by-step explanation:

Use the vertex

[tex] - 8 {x}^{2} + 6[/tex]

formula, we know that h is 0 and k is 6 so we get

[tex]a(x {}^{2} ) + 6[/tex]

Now, we set that equal to y and plug in -1 for x and -2 for y to solve for a.

[tex]a( (- 1) {}^{2} ) + 6 = - 2[/tex]

[tex]a(1) + 6 = - 2[/tex]

[tex]a = - 8[/tex]

So our formula is

[tex] - 8( {x}^{2} ) + 6[/tex]

ir

[tex] - 8 {x}^{2} + 6[/tex]

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