contestada

Which of the following equations is of a parabola with a vertex at (1, -2)? y = (x - 1)2 - 2 y = (x - 1)2 + 2 y = (x + 1)2 - 2 y = (x + 1)2 + 2

Respuesta :

ayeKassandra
The answer is y=(x+1)2-2y

Answer:

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

Step-by-step explanation:

Givens

  • The vertex is at [tex](1,-2)[/tex].

The explicit form of a parabola is

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

Where [tex](h,k)[/tex] is the vertex.

So, we know that [tex]h=1, k=-2, a=1[/tex]. Replacing these values, we have the following expression

[tex]y=a(x-h)^{2}+k\\y=(x-1)^{2}-2[/tex]

Therefore, the right answer is the first choice

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