math

posted by .

find the equations of the quadratics given the following information
zeros of 5 and 9
an optimal value of -2
using the formula y=a(x-s)(x-t)

  • math -

    we can start with
    y = a(x-5)(x-9)

    the vertex , where the function has an optimal value of -2, must be midway between the zeros , that is,
    when the x = 7
    so (7,-2) is the vertex, let's sub that into our equation
    -2 = a((7-5)(7-9)
    -2 = a(-4)
    a = 1/2

    equation: y = (1/2)(x-5)(x-9)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    In Quadratics Grade Ten:How do you find the coordinates of the vertex?
  2. Algebra

    I don't even know where to start, teacher gave us this with no direction. Suppose the polynomial R(x)=a9x^9+a8x^8+...+a,x+a0 has real coefficients with a9 cannot equal 0. Suppose also that R(x)has the following zeros: 5, 6, 5+5i. Using …
  3. Math

    Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i
  4. Math

    Given P(x) = x^3 - 3x^2 - 5x + 10 a evaluate P9x) for each integer value of x from -3 through 5 b. Find all zeros of P(x) d. Prove that 5 is an upper bound on the zeros of P(x)
  5. Algebra

    Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 9, 3+5i, -9i
  6. Calculous Finding K, using zeros

    Suppose f(x) has zeros at x = -3, x = 3, x = 5, and a y-intercept of 17. In addition, f(x) has the following long-run behavior: as x -> +-infinity, y -> +infinity Find the formula for the polynomial f(x) which has the minimum …
  7. Algebra ll

    Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 8,-6-i
  8. Algebra ll

    Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: 8, -6-i
  9. 9th grade algebra (sequences)

    Can you check my homework please? Given the following representations, tell whether it's arithmetic/geometric, find the difference/ratio, find the explicit formula, find the recursive formula, and the given term. (This whole question
  10. Algerbra

    7.f(x)=2x^2-3x+1 13. f(x)=x^2-6x+1=0 *Solve for the zeros/roots of the following quadratic equations by using the quadratic formula* Any help please.....

More Similar Questions