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What is the axis of symmetry of the quadratic function [tex]\( y = 2(x + 3)^2 + 5 \)[/tex]?

A. [tex]\( x = -5 \)[/tex]

B. [tex]\( x = -3 \)[/tex]

C. [tex]\( x = 5 \)[/tex]

D. [tex]\( x = 3 \)[/tex]



Answer :

Answer:

B

Step-by-step explanation:

The axis of symmetry is a vertical line passing through the vertex of the quadratic function, with equation

x = c ( c is the x- coordinate of the vertex )

The equation of a quadratic function in vertex form is

• y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

given

y = 2(x + 3)² + 5 , that is

y = 2(x - (- 3) )² + 5 ← in vertex form

with h = - 3 , k = 5 and a = 2

Then coordinates of the vertex = (- 3, 5 )

Thus equation of axis of symmetry is

x = - 3

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