185k views
5 votes
Complete the square to re-write the quadratic function in vertex form

Complete the square to re-write the quadratic function in vertex form-example-1
User Leselle
by
7.5k points

2 Answers

1 vote

Answer:

y(x)=4*x^2+8*x+-3

y(x)=4*(x^2+2*x+-3/4) ( Factor out )

y(x)=4*(x^2+2*x+(1)^2+-1*(1)^2+-3/4) ( Complete the square )

y(x)=4*((x+1)^2+-1*(1)^2+-3/4) ( Use the binomial formula )

y(x)=4*((x+1)^2+1*-7/4) ( simplify )

y(x)=4*(x+1)^2+-7 ( expand )

Explanation:

hope this helps:)

User Carlyn
by
7.4k points
2 votes

Answer:

y=4(x+1)^2 -7

Explanation:

If you’re having trouble converting these equations into vertex form I suggest using math-way. com. It is extremely helpful for me when I’m in math class

User Carte
by
7.6k points