Determine the equation of a quadratic function that satisfies each set of conditions.

a) x-intercepts 1 and -1, y-intercept 3
b) x-intercept 3, and passing through the point (1, -2)
c) x-intercepts -1/2 and 2, y-intercept 4

Please explain your answers.

  1. 👍
  2. 👎
  3. 👁
  1. a) start with

    y = a(x-1)(x+1), then put (0,3) into that to find a

    c) do it the same as a)

    b) not enough information unless your point (1,-2) is the vertex.

    1. 👍
    2. 👎
  2. b) can be satisified by 2x^2-3x+3=y but it may be satisfied by other equations.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find

  2. quadratic functions

    The graph of a quadratic function can have 0, 1 or 2 x-intercepts. How can you predict the number of x-intercepts without drawing the graph or (completely) solving the related equation? Suppose that the graph of f(x) = ax^2+bx+c

  3. algebra

    Find an equation of a rational function that satisfies the following conditions: • Vertical asymptotes: x = −3 • Horizontal asymptote: y=3/2 • x -intercept: 5 • Hole at x =2

  4. Math

    Write an equation to represent a rational function with the following conditions: - reciprocal of a quadratic function - asymptotes with the equations x = -5, x= 4/3, and y = 0 - y < 0 whenever x < -5 - y-intercept of 1.5

  1. math

    the graph of a quadratic function has x-intercepts -1 and 3 and a range consisting of all numbers less than or equal to 4. Determine an expression for the function.

  2. Math

    Find a formula for the exponential function which satisfies the given conditions: g(10)=40 and g(30)=25. g(x)=

  3. Algebra

    How many x or y intercepts can a quadratic function have? A) 0-2 x-intercepts and 0-1 y-intercept B) 0-2 x-intercepts and 1 y-intercept C) 2 x-intercepts and 1 y-intercept D) 1-2 x-intercepts and 0-1 y-intercept I think the answer

  4. Algebra

    Please Help Guys! 1) Why is f(x)=(3x+13)2+89 not the vertex form of f(x)=9x2+2x+1? A.The expression has a constant outside of the squared term. B. The expression is not the product of two binomials. C. The variable x has a

  1. Algebra Quadratic Equations

    When a quadratic equation has one solution, there will be one x-intercept; when there are two solutions, there will be two x-intercepts and when the equation has no solution, the graph will have no x-intercepts",is there another

  2. Algebra

    Please Help! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+4x−1 B. f(x)=−2x2+5x−1 C. f(x)=−3x2+10x−1 D. f(x)=−5x2+8x−1 Determine if

  3. Math

    State an equation of a rational function that satisfies the given conditions: vertical asymptote at x=5, horizontal asymptote at y=-3, and x-intercept is 5/2. Need help solving.

  4. Math

    An engineer is designing a parabolic arch. The arch must be 15 m high, and 6 m wide at a height of 8 m. a) Determine a quadratic function that satisfies these conditions. I've got : 8=a(6-h)^2+15, but i don't know what to do next.

You can view more similar questions or ask a new question.