Question

Rewrite the equation in standard form from vertex form: y = -4(x - 3)² +6

The equation of the parabola, in standard form is

Answer 1

Standard form: y = -4x^2+24x-30

Explanation:

Steps 1-3: Expand the (x-3)^2 and combine like terms:

`-4(x-3)(x-3)+6\\-4(x^2-3x-3x+9)+6\\-4(x^2-6x+9)+6`

Step 4: Distribute the -4 to every term in the parentheses:

`-4x^2+24x-36+6`

Step 5: Finally, combine like terms:

`-4x^2+24x-30`