The vertex form of the equation of a parabola is y=(x-5)2+16.what is the standard form of the equation?
a. y=x2-10x+41
b. y=x2+10x+16
c. y=x2+x+8
d. y=3x2-10x+41

Option (A) is correct.

The standard form of the equation of parabola    is

Step-by-step explanation:

Given : The equation of a parabola is

We have to find the standard form of the equation of parabola

Consider the equation of a parabola is

Applying algebraic identity

We have, a= x and b = 5

Simplify, we have,

Substitue, we have,

Simplify, we have,

Thus, The standard form of the equation of parabola    is

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