Respuesta :

Formula is y = a(x-h)^2 + k

f (x) = a(x-4)^2 - 1

15 = a(0-4)^2 - 1

15 = a(-4)^2 - 1

15 = a(16) - 1

15 +1 = 16a

16 = 16a

16/16 = 16a/16

1 = a

A must be equal to 1

y = (x-4)^2 - 1

y = x^2 - 8x + 16 - 1

y = x^2 - 8x + 15

Factor (find two number that summed give -8 and multiplied +15)

(x-3)(x-5) = 0

(x-3) = 0 -> x = 3

(x-5) = 0 -> x = 5

So answer is: (3;0) and (5;0)
gorraricardezju
Hello My Melo Friend!

Formula: [tex]y = a(x-h)^2 + k[/tex]

[tex]f (x) = a(x-4)^2 - 1[/tex]

[tex]15 = a(0-4)^2 - 1[/tex]

[tex]15 = a(-4)^2 - 1[/tex]

[tex]15 = a(16) - 1[/tex]

[tex]15 +1 = 16a[/tex]

[tex]16 = 16a[/tex]

[tex]16/16 = 16a/16[/tex]

[tex]1 = a[/tex]

A MUST be = to 1

[tex]y = (x-4)^2 - 1[/tex]

[tex]y = x^2 - 8x + 16 - 1[/tex]

[tex]y = x^2 - 8x + 15[/tex]

Factor = (Find two number that summed give [tex]-8 [/tex]and multiplied [tex]+15[/tex])

[tex](x-3)(x-5) = 0[/tex]

[tex](x-3) = 0 -\ \textgreater \ x = 3[/tex]

[tex](x-5) = 0 -\ \textgreater \ x = 5[/tex]

Therefore, The Correct Answer would = to [tex](3;0)[/tex] and [tex](5;0)[/tex].

I Hope my answer has come to your Help. Thank you for posting your question here in [tex]Brainly. [/tex]We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

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