Question

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

Answer 1

Answer: (-3,19)

Step-by-step 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.