College Algebra

The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function

y=a(x-(-2))^2+4
y=a(x+2)+4
2=a(x+2)+4
-4 -4
-2=a(0+2)/2
-1+ a

function -1(x+2)+4 ?
Im not sure where Im going wrong but my answer was incorrect. Please help

  1. 👍 1
  2. 👎 0
  3. 👁 337
  1. from the given vertex, the equation must be

    y = a(x+2)^2 + 4
    but (0,2) lies on it, so
    2 = a(0+2)^2 + 4
    2 = 4a + 4
    4a=-2
    a = -1/2

    y = (-1/2)(x+2)^2 + 4

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    If the graph of the quadratic function f(x) = x^2 + dx + 3d has its vertex on the x-axis, what are the possible values of d? What if f(x) = x^2 + 3dx − d^2 + 1?

    asked by HELP on July 16, 2020
  2. Algebra

    Find the equation of the quadratic function f whose graph is shown below. Ponts on the graph are (-3,-1)(-2,-4) f(x)=

    asked by Rachal on January 25, 2011
  3. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent

    asked by Adriana on March 2, 2018
  4. Calculus

    Find expressions for the quadratic functions whose graphs are shown. One graph has the point (4,2) plotted in which the parabola passes through (U-shaped parabola- right side up) The vertex is at (3,0) and the parabola does not

    asked by Chelsea on September 21, 2010
  1. 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
  2. Algebra

    A problem involving a ball being thrown in the air is modeled with a quadratic function. Which of the following would you be solving for if asked to find the time at which the ball will reach its maximum height? A. an x-intercept

    asked by Emma on July 24, 2014
  3. Quadratic function

    Determine the quadratic function f whose graph is given. The vertex is (-3,-13) and the y-intercept is -4 f(x)=

    asked by Jenn on March 19, 2013
  4. 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
  1. Math

    find the vertex line of symmetry the minimum naximum value of the quadratic function and graph the function f(x)=-2x^2+2x+2.

    asked by Allison A on November 28, 2011
  2. Math (Algebra)

    Consider the graph of the quadratic function y=ax^2+bx+c. If it passes through two points P=(6,0) and Q=(14,0), and its vertex is on the line y=−16x, what is the value of a+b+c?

    asked by Drake on July 17, 2013
  3. algebra

    For the quadratic function f(x) = - x^2 +2x + 6, find the vertex and the axis of symmetry, and graph the function. Again, I need help with this as these are practice examples for an upcoming quiz and I stink at this part of

    asked by slomomo on February 4, 2015
  4. AlgebraB-2

    1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum? 3. How is the graph of y = –2x2 – 4 different from the graph of y = –2x2? (1 point) 4. Graph the function. Identify the vertex and axis of

    asked by Jennifer W. on March 19, 2013

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