Ask Question
28 July, 00:11

Given the equation f (x) = (x 3) 2 - 8, fill in the blanks:axis of symmetry: x = a1vertex: (a2, a3) number of real solutions: a4

+1
Answers (1)
  1. 28 July, 01:20
    0
    F (x) = (x + 3) ² - 8 = x² + 6 x + 9 - 8 = x² + 6 x + 1

    For the quadratic function:

    Axis of symmetry is: x = - b / 2 a, where: a = 1, b = 6 (because it it in the form:

    y = a x² + b x + c).

    Therefore: x = - 6 / 2 = - 3.

    f ( - 3) = ( - 3 + 3) ² - 8 = 0 - 8 = - 8

    And D = b² - 4 a c = 6² - 4 * 1 * 1 = 36 - 4 = 32 (greater than 0). It means that there are 2 real solutions.

    Answer: x = - 3, vertex : ( - 3, - 8), Number of real solutions : 2.

    a 1 = - 3, a 2 = - 3, a 3 = - 8, a 4 = 2.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Given the equation f (x) = (x 3) 2 - 8, fill in the blanks:axis of symmetry: x = a1vertex: (a2, a3) number of real solutions: a4 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers