Which functions have an axis of symmetry of x = - 2? Check all that apply. A. f (x) = x^2 + 4x + 3 B. f (x) = x^2 - 4x - 5 C. f (x) = x^2 + 6x + 2 D. f (x) = - 2x^2 - 8x + 1 E. f (x) = - 2x^2 + 8x - 2

Question

Mathematics

Nicolas Hurst

14 September, 21:55

Which functions have an axis of symmetry of x = - 2? Check all that apply. A. f (x) = x^2 + 4x + 3 B. f (x) = x^2 - 4x - 5 C. f (x) = x^2 + 6x + 2 D. f (x) = - 2x^2 - 8x + 1 E. f (x) = - 2x^2 + 8x - 2

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Answers (1)

Know the Answer?

Maria Swanson · Answer 1

A. f (x) = x^2 + 4x + 3

D. f (x) = - 2x^2 - 8x + 1

Step-by-step explanation:

The axis of symmetry is found by h = - b/2a where ax^2 + bx + c

A. f (x) = x^2 + 4x + 3

h = - 4/2*1 = - 2 x=-2

B. f (x) = x^2 - 4x - 5

h = - - 4/2*1 = 4/2 = 2 x=2 not - 2

C. f (x) = x^2 + 6x + 2

h = - 6/2*1 = - 3/2 = x=-3/2 not - 2

D. f (x) = - 2x^2 - 8x + 1

h = - - 8/2*-2 = 8/-4 = -2 x=-2

E. f (x) = - 2x^2 + 8x - 2

h = - 8/2*-2 = - 8/-4 = 2 x=2 not - 2