Which of the following equations DOES NOT have an Axis of Symmetry at x = 2?

Question

f(x) = -3(x - 2)² + 5

g(x) = 4(x - 7)(x + 3)

h(x) = x² + 4x + 7

Answer 1

axis of symmetry is -b/2a

h(x) = x² + 4x + 7 Axis of symmetry is -4/2= -2

if you check the other two equations. They both have

axis of symmetry x=2

Answer 2

f(x) = -3(x - 2)² + 5

vertex → (2, 5)

x = 2 → axis of symmetry

g(x) = 4(x - 7)(x + 3)

g(x) = 4(x² – 4x – 21)

g(x) = 4(x² – 2∗2∗x + 2² − 21 – 4)

g(x) = 4(x – 2)² – 100

vertex → (2, –100)

x = 2 → axis of symmetry

h(x) = x² + 4x + 7 = (x + 2)² + 3

vertex → (–2, 3)

x = –2 → axis of symmetry

This function is what we are looking for!