Question

What is the equation of the line of symmetry for the graph of y = 3(x + 2)^2 - 4?

x = -4
x = -2
x = 2
x = 3

Answer 1

here we are looking for the x coordinate of the vertex.

y=a(x -h)^2 +k where the vertex is given by (h,k)

so with your equation what will the x symmetry line be?

Answer 2

x = 2

Answer 3

close if I put x=2 back into the equation I will get this y=a(x -2)^2 +k but we have y = 3(x + 2)^2 - 4

so x=-2. to check put it back into the equation

y=a(x -(-2))^2 +k
y=a(x +2)^2 +k

Answer 4

ohhh i see... thank you

Answer 5

no worries :)

Answer 6

also. the vertex = -b/2a, that will give you the line of symmetry x coord also since the vertex is directly in the middle :)