Convert the equation from Vertex form 2 standard form y = -4( x + 5 )2 - 3.

Question

1. Y = -4x 2 - 25x - 3
2. Y = 16x 2 + 160x + 412
3. Y = 16x 2 + 160x + 397
4. Y = -4x 2 - 40x - 103

Answer 1

To convert the equation from vertex form to standard form, we need to expand and simplify the equation.

The given equation is y = -4(x + 5)^2 - 3.

Expanding the equation, we get:
y = -4(x^2 + 10x + 25) - 3
y = -4x^2 - 40x - 100 - 3
y = -4x^2 - 40x - 103

Therefore, the equation in standard form is:
Y = -4x^2 - 40x - 103.

So, the correct option is 4. Y = -4x^2 - 40x - 103.