117k views
5 votes
Write y=2x²+8x+3 in vertex form.

User Rohithpr
by
8.5k points

1 Answer

5 votes

Final answer:

To write the equation y=2x²+8x+3 in vertex form, we need to complete the square.

Step-by-step explanation:

To write the equation y=2x²+8x+3 in vertex form, we need to complete the square. The vertex form of a quadratic equation is given by y=a(x-h)²+k, where (h,k) represents the coordinates of the vertex.

Step 1: Factor out the coefficient of x² from the equation. y=2(x²+4x)+3

Step 2: Complete the square by adding and subtracting the square of half the coefficient of x. y=2(x²+4x+4)+3-8

Step 3: Simplify and rewrite the equation in vertex form. y=2(x+2)²-5

User Ehsan Khaveh
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories