Question

Which of the quadratic functions listed is written in vertex form?

Answer 1

`y - 7= - 2 {(x + 3)}^(2)`

EXPLANATION

The vertex form of a quadratic function is given by:

`y = a {(x - h)}^(2) + k`

From the given options, the first choice is

`y - 7= - 2 {(x + 3)}^(2)`

`y=- 2 {(x + 3)}^(2) + 7`

where a=-2, h=-3, and k=7.

Therefore the vertex is (-3,7)

Hence the first choice is the correct option.

Answer 2

A is the best answer.

Explanation:

A is. It can be written as y [ or v] = -2(x + 3)^2 + 7 which is the pure form of a vertex equation.

C doesn't work since that is a linear function. Nothing is squared.

D doesn't work. That is just the way an ordinary quadratic is written. (Standard form).

B doesn't work. The quadratic is written in factored form.