Question

Determine the axis of symmetry and the vertex of the given function. y = 2x2 - 12x + 21

Answer 1

Answer:

the vertex is ( 3 , 3)

Symetric axis‘s equation: x = 3

Step-by-step explanation:

Let‘s name the function ” f ”

f(x) = y = 2x² - 12x + 21

the vertex has coordinates of ( -b/2a , f(-b/2a) )

-b/2a = 12/2(2) = 12/4 = 3

f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3

then the vertex is ( 3 , 3)

the symetric axis has the equation :

x = -b/2a

then