The standard form of a parabola's equation is y = ax^2 + bx + c.

To convert the given vertex form y = (x + 5)^2 + 49 to the standard form, we need to expand the square term:

y = (x^2 + 10x + 25) + 49

Then, combine like terms:

y = x^2 + 10x + 74

So, the standard form of the equation is y = x^2 + 10x + 74.

Question

The standard form of a parabola's equation is y = ax^2 + bx + c.

To convert the given vertex form y = (x + 5)^2 + 49 to the standard form, we need to expand the square term:

y = (x^2 + 10x + 25) + 49

Then, combine like terms:

y = x^2 + 10x + 74

So, the standard form of the equation is y = x^2 + 10x + 74.

Knowee AI · Accepted Answer

The standard form of a parabola's equation is y = ax^2 + bx + c.

To convert the given vertex form y = (x + 5)^2 + 49 to the standard form, we need to expand the square term:

y = (x^2 + 10x + 25) + 49

Then, combine like terms:

y = x^2 + 10x + 74

So, the standard form of the equation is y = x^2 + 10x + 74.

The vertex form of the equation of a parabola is y = (x + 5)2 + 49.What is the standard form of the equation?