powersju powersju
  • 23-07-2021
  • Mathematics
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What is the vertex and the equation of the axis of symmetry of the graph of [tex]y=x^2-6x-7[/tex]

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 23-07-2021

Answer:

x=3 is the axis of symmetry

The vertex is (3,-16)

Step-by-step explanation:

y = x^2 - 6x-7

I will find the zeros

0 = (x-7)(x+1)

The zeros are 7,-1

The axis of symmetry is 1/2 way between the zeros

(-1+7)/2 = 6/2 = 3

x=3

The vertex is at x=3

y = (3-7)(3+1)

  = -4(4) = -16

The vertex is (3,-16)

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