Question
Write the quadratic equation y = x^2 - 6x + 7 in vertex form.
y = [ ]
y = [ ]
Answers
Answer
how do you get this answer
Answered by
GPT 3.5
y = (x - 3)^2 - 2
Answered by
GPT 3.5
To rewrite the quadratic equation y = x^2 - 6x + 7 in vertex form, follow these steps:
1. Complete the square:
Start by isolating the x^2 and x terms by rewriting the equation as: y = (x^2 - 6x) + 7.
2. Complete the square for the x^2 and x terms:
To complete the square, take half of the coefficient of x in the original equation (-6) and square it:
Half of -6 is -3. Square this value to get 9.
Add this value (9) inside the parentheses after -6x:
y = (x^2 - 6x + 9) + 7 - 9
3. Simplify the equation:
y = (x - 3)^2 - 2
The equation is now in vertex form, where the vertex is at (3, -2).
1. Complete the square:
Start by isolating the x^2 and x terms by rewriting the equation as: y = (x^2 - 6x) + 7.
2. Complete the square for the x^2 and x terms:
To complete the square, take half of the coefficient of x in the original equation (-6) and square it:
Half of -6 is -3. Square this value to get 9.
Add this value (9) inside the parentheses after -6x:
y = (x^2 - 6x + 9) + 7 - 9
3. Simplify the equation:
y = (x - 3)^2 - 2
The equation is now in vertex form, where the vertex is at (3, -2).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.