The vertex form of the equation of a parabola is y = (x + 7)2 + 13.What is the standard form of the equation?A.y = x2 + 43x + 32B.y = x2 + 14x + 62C.y = 7x2 + 14x + 62D.y = x2 + 7x + 13SUBMITarrow_backPREVIOUS
Question
The vertex form of the equation of a parabola is y = (x + 7)2 + 13.What is the standard form of the equation?A.y = x2 + 43x + 32B.y = x2 + 14x + 62C.y = 7x2 + 14x + 62D.y = x2 + 7x + 13SUBMITarrow_backPREVIOUS
Solution
The standard form of a quadratic equation is y = ax^2 + bx + c.
Given the vertex form of the equation of a parabola y = (x + 7)^2 + 13, we can expand this to get the standard form.
First, expand (x + 7)^2. This gives x^2 + 14x + 49.
So, y = x^2 + 14x + 49 + 13.
Simplify this to get y = x^2 + 14x + 62.
So, the standard form of the equation is y = x^2 + 14x + 62.
Therefore, the correct answer is B. y = x^2 + 14x + 62.
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