# What is the vertex of #y=2x^2+6x+4#?

##### 2 Answers

#### Explanation:

#### Explanation:

Method 1: Calculus approach

Vertex is where the gradient of the curve is 0.

Therefore find

Equate that to 0 such that:

Solve for

Let

Method 2: Algebraic approach.

Complete the square to find the turning points, also known as the vertex.

Notice here that you have to multiply BOTH terms by 2, as 2 was the common factor which you took out of the entire expression!

Therefore, the turning points can be picked up such that

Therefore coordinates: