Question

8th/9th-95 POINTS+BRAINLIEST!!!!!!!! How do you write a quadratic equation in vertex form? Please explain the steps in simple language and use y=x²+6x+16 as an example.

Answers

  2. Answer:
    In vertex form: y = 1(x – (-3))² + 7
    Vertex: Minimum (-3, 7)
    Explanation:
    Vertex form: y = a(x – h)² + k
    Completing square (rules) :
    1st rule: (x + d)² = x² + 2dx + d²    and   (x – d)² = x² – 2dx + d²
    2nd rule: x² + 2dx = (x + d)² – d²   and  x² – 2dx = (x – d)² – d²
    Given equation:
    y = x² + 6x + 16
    y = x² + 2(3)x + 3² + 7
    y = (x + 3)² + 7
    Into vertex form:
    y = 1(x – (-3))² + 7
    From this identify:
    a = 1, h = -3, k = 7
    Solution, vertex of this equation: Minimum (-3, 7)

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