Algebra II

State the vertex of the graph:


...the 2x is squared.

y = 2x^2 -6x + 9
The vertex is where the function is a minimum. That would be where dy/dx = 4x -6 = 0
x= 3/2

If you are not familiar with calculus, then rewrite the expression

y = 2 (x^2 -3x + (3/2)^2) +9 -(3/2)^2
= 2(x - 3/2)^2 + constant
That has a minimum when x -3/2 = 0

  1. πŸ‘ 0
  2. πŸ‘Ž 0
  3. πŸ‘ 39
asked by Kate
  1. multiply 2 by 2

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Ashley

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math(Reiny Could You Help?)

    The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)= 3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). A.)

    asked by Heaven on May 16, 2016
  2. heelp math

    A graph is constructed iteratively according to the following algorithm. The graph starts as a single vertex. With probability p, the graph stops here. Otherwise, 3 new vertices are constructed and joined to this vertex. If we

    asked by lin on July 8, 2013
  3. algebra

    Where is the vertex of the graph of y = -x squared + 4x + 5

    asked by Kathy on February 18, 2014
  4. Algebra

    Identify the vertex and the axis of symmetry for the graph of y=5(x-2)^2 + 3. a) vertex (2,3); x = -2 b) vertex (-2,-3); x = 2 c) vertex (2,3); x = 2 d) vertex (-2,-3); x = -2 I have no idea how to solve this problem! Please help.

    asked by Cassie on June 6, 2009
  5. math, algebra,graphs help

    THe directions state: (A)Complete the table, (B) describe the resulting graphs by identifying the vertex point, (C)the graph’s direction, (D) and any axis intercepts gleaned from the table or graph Problem #3 Equation : y = 2x^2

    asked by jasort20 on April 11, 2007
  6. Math

    y=-3x^2+6x-2 Sketch the graph of the given porabola and state the coordinance of its intercepts. I can graph it if I can get some help with the vertex and coordinance. This is what I got; vertex:(1,1) x-intercept:(-1.6,.-4), and

    asked by Jennifer on March 24, 2010
  7. algebra

    sketch the graph of quadratic function. identify vertex and x intercepts f(x)(x-3)squared-1

    asked by frank on November 1, 2010
  8. math

    sketch the graph of quadratic function. identify vertex and x-intercepts f(x)=(x-3)squared-1

    asked by frank on November 1, 2010
  9. 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
  10. Algebra 1

    How do you graph the function: y = 6x(squared) - 12x + 1 Then, how would you find the Axis of Symmetry and the Vertex? Any help is greatly appreciated

    asked by Ben on April 14, 2011

More Similar Questions