Question

The equation of a parabola in vertex form is y = 2(x - 3)2 + 5. What is the standard form

Answer 1

hello :

y = 2(x + 3)² - 5

y = 2(x²+6x+9) -5

y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )

Option (a) is correct.

The standard form the equation  is

Step-by-step explanation:

Given : the vertex form of the  equation of a parabola is

We have to write the given equation in standard form and choose the correct from the given options.

Consider the given equation of parabola

The standard form of equation of parabola is

We can obtain the standard form by expanding the square term in the given equation.

Using algebraic identity , we have,

Solving brackets, we get,

Simplify, we get,

Thus, The standard form the equation  is