To find the correct standard form of the equation, we need to simplify the expression inside the square root and expand it.
Step 1: Distribute the square to both terms inside the parentheses:
= √(x^2 - 4x + 4 + y^2 + 8y + 16)
Step 2: Combine like terms:
= √(x^2 + y^2 - 4x + 8y + 20)
So, the correct standard form of the equation is √(x^2 + y^2 - 4x + 8y + 20).
What is the correct standard form of the equation
√(x−2)2+(y+4)2
explain each step
1 answer