Respuesta :
Answer: [tex]y=x^{2}+2x-4[/tex]
Step-by-step explanation:
1. To solve the exercise shown, you must expand the equation.
2. Accordind the the square of a sum, you have:
[tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex]
3. Therefore, you have the equation in standard form:
[tex]y=(x^{2}+2x(1)+1^{2})-5\\y=x^{2}+2x+1-5\\y=x^{2}+2x-4[/tex]
Answer:
y = x²+2x-4
Step-by-step 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.