Convert the equation from vertex form to standard form y=−4(x+5)^2−3.
To convert the equation from vertex form to standard form, we need to expand and simplify.
Starting with the equation in vertex form: y = -4(x+5)^2 - 3
Expanding the square: y = -4(x^2 + 10x + 25) - 3
Multiplying each term within the parentheses by -4: y = -4x^2 - 40x - 100 - 3
Combining like terms: y = -4x^2 - 40x - 103
Therefore, the equation in standard form is: y = -4x^2 - 40x - 103.