Formula help?

Attachment image

2 Answers

Relevance
  • ?
    Lv 7
    4 months ago

    The formula of a parabola in vertex form can be represented as

    y = a(x - h)² + k

    vertex is (h, k) 

    From the graph, the vertex is (3, 6) 

    (y - y_0)^2 = 4 a (x - x_0)

    (y - 6)^2 = 4 a (x - 5)

    y = 4 (a x - 5 a + 9)

  • Ash
    Lv 7
    4 months ago

    A formula of parabola in vertex form can be represented as

    y = a(x-h)² + k

    vertex is (h,k)

    From graph vertex is (3,6)

    y = a(x-3)² + 6

    since the parabola passes through point (5,11), it should should satisfy the equation 

    11 = a(5-3)² + 6 

    5 = 4a 

    a = 5/4

    so the equation becomes 

    y = (5/4)(x-3)² + 6

Still have questions? Get your answers by asking now.