Mathematics

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. 👍 0
  2. 👎 0
  3. 👁 419
  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. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  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.

    asked by shan on September 6, 2008
  2. 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

    asked by Steven on December 29, 2014
  3. Math

    If a 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

    asked by Molly on June 4, 2015
  4. Algebra

    Find an equation of the line that satisfies the given conditions. Through (5, 3) and (4, 7)

    asked by Kim on October 22, 2014
  5. College Algebra

    Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts −2 and 8,highest point has y-coordinate 5

    asked by Kyle on November 12, 2014
  1. 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

    asked by math dumb on March 4, 2020
  2. Pre-calc

    1. Find the equation for a quadratic function whose vertex is (2,5) and whose graph contains the point (-8,15). 2.What are the x- and y- intercepts for y=2x^2+x-6 Plesee explai. I want to learn to learn how to do them.

    asked by Leslie on July 12, 2010
  3. Algebra

    Answer the following quadratic function f(x)= x^2 + 6x - 16 a)What is the vertex (h,k)of f? b)What is the axis of symmetry? c)What are the intercepts?

    asked by Kayleigh on April 9, 2013
  4. College Algrbra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing

    asked by Sherri on December 17, 2012
  5. Math(Quadratic Functions)

    Determine the quadratic function, f(x), with x intercepts at x=7 and x=-2 and y intercept at y=5. I have been struggling with this question for days. I have phoned my teacher and gotten her help, but I still can't figure it out.

    asked by Heaven on April 25, 2016

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