Question

Convert the vertex form into standard form



+ _ - _

Answer 1

y = x²+2x-4

Explanation:

We have given an equation which is in vertex form.

y = (x+1)²-5

We have to convert above equation into standard form.

Standard form of equation is

y = ax²+bx+c

Expanding the square term by using following formula,

(a+b)² = a²+2ab+b²

Now, y = x²+2x+1-5

Adding like terms , we have

y = x²+2x-4 which is the answer.

Answer 2

Answer:
`y=x^(2)+2x-4`

Explanation:

1. To solve the exercise shown, you must expand the equation.

2. Accordind the the square of a sum, you have:

`(a+b)^(2)=a^(2)+2ab+b^(2)`

3. Therefore, you have the equation in standard form:

`y=(x^(2)+2x(1)+1^(2))-5\\y=x^(2)+2x+1-5\\y=x^(2)+2x-4`