Question

What is the standard form of the quadratic equation y=−12(x+5)2−10? A) y=−12x²−452 B) y=−12x²−5x−2/52 C) y=−14x²−52x−354 D) y=−12x²−5x−452 E) y=−14x²−52x−654 F) y=−14x²−654

Answer 1

To find the standard form of the given equation, we need to expand it out.

The standard form of a quadratic equation is y = ax² + bx + c.

We start with the given equation: y = -12(x + 5)² - 10.

First we need to expand the bracket (x + 5)², which gives us x² + 10x + 25.

Now, substitute this back into the initial equation to get y = -12(x² + 10x + 25) - 10.

Then, we multiply -12 across the bracket, which offers us -12x² - 120x - 300.

Finally, subtract 10 from the equation to simplify it to y = -12x² - 120x - 310.

This is the standard form of our given equation.

However, reviewing the answer options given, it seems that none of them match the standard form that we've found. Thus, we can conclude that none of the options provided are the standard form of the given equation.