Mathematics

Question

Please help me out.........
Please help me out.........

2 Answer

  • Answer:

    This is the answer : (answer given in the picture)

  • Answer:

    vertex = (- 3, 24)

    Step-by-step explanation:

    Given a quadratic in standard form y = ax² + bx + c : a ≠ 0, then

    The x- coordinate of the vertex is

    [tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

    y = - x² - 6x + 15 ← is in standard form

    with a = - 1, b = - 6, thus

    [tex]x_{vertex}[/tex] = - [tex]\frac{-6}{-2}[/tex] = - 3

    Substitute x = - 3 into the function for corresponding value of y

    y = - (- 3)² - 6(- 3) + 15 = - 9 + 18 + 15 = 24

    vertex = (- 3, 24)

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