Convert the equation from vertex form to standard form y=−4(x+5)^2−3.

Answer 1

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.