Question

Identify the vertex for the graph of y = −2x2 − 12x 1.

(−3, 19)
(−3, 55)
(3, −53)
(3, −47)

Answer 1

Explanation:

Answer 2

Answer: (-3,19)

Explanation:

Here the given function is,

`y = -2x^2-12x+1`

`\implies y = -2(x^2+6x)+1`

`\implies y = -2(x^2+6x)+1+18-18`

`\implies y = -2(x^2+6x+9)+19`

`\implies y = -2(x+3)^2+19`

`\implies y = -2(x-(-3))^2+19`

Since, the standard equation of a quadratic function is
`y = a(x - h)^2 + k`

Where (h,k) is the vertex of the function.

On comparing the equation of given function with this standard form,

We get, the vertex of the given function is (-3,19)

⇒ First option is correct.