Question

What is the equation of the axis of symmetry for the parabola y equals start fraction one over four end fraction left parenthesis x plus two right parenthesis squared minus seven?
x = −8
x = start fraction one over four end fraction
x = 2
x = −2

Answer 1

For this case we have the following function:
 y = 1/4 (x + 2) ^ 2 - 7
 We derive the equation:
 y '= 1/2 (x + 2)
 Equaling zero we have:
 1/2 (x + 2) = 0
 We clear the value of x:
 x + 2 = 0
 x = -2
 Answer:
 The equation of the axis of symmetry for the parabola is:
 x = -2