posted by .

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. Thank you! :)

  • Algebra -

    All parabolas of the form
    y=ax2 + bx + c
    have their axis of symmetry passing through the vertex.

    Thus a and b can be eliminated on that basis.

    Note that when the x2 term is positive, the parabola has a minimum at the vertex.

    By inspection, when x=2, the value of y is at its minimum because the 5(x-2)2 term is zero. Any other value of x will render the term > 0. Thus the vertex is at x=2, where y=3.
    Thus the answer is (C).

    c. y=5(2-2)2+3=3
    d. y=5(-2-2)2+3=83 (not equal to 3)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math help,algebra

    Okay this is what i have to do but i think i am doing something wrong. directions are: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). The problem is: y = -x^2+6x-2 …
  2. maths

    how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ?
  3. algebra

    1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^2-7x+9=0 answer=2 complex …
  4. algebra(reiny)

    Hey thanks for all your help but you kinda confused me on a few: 1)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value A.minimum -1 B.maximum 11 C.maximum -1 D.minimum 11 and you said the function …
  5. Troy

    Can someone check my answers for the following problems. Simplify. Assume that no denominator equals 0. 1)(7x^2+3x-9)-(-x^2+8x-3) answer: 6x^2-5x-6 2) 5x^3(7x)^2 answer: 245x^5 3) (2x-3)^2 answer: 4x^2-9 4) Use synthetic division to …
  6. algebra

    I would like to have some help on this problem please. I'm so post to find the vertex and axis of the parabola.Does anyone have an idea?
  7. Algebra 2

    3. Identify the vertex and the axis of symmetry of the graph of the function y = 3(x + 2)2 – 3. (1 point) A- vertex: (2, –3); axis of symmetry: x = 2 B- vertex: (–2, –3); axis of symmetry: x = –2 C- vertex: (2, 3); axis of …
  8. AlgebraB-2

    1. What are the coordinates of the vertex of the graph?
  9. math

    1 identify the coordinates of the vertex and the equation of the axis of summetry of the parabola x=2 (y-1)^2+3 A. The vertex of the parabola is (1,3), and the equation of the axis of symmetry B. the vertex of the parabola is (3,1) …
  10. Algebra2

    Write an equation of an ellipse in standard form with center at the origin and with the given vertex and co-vertex vertex at (-3,0) and co-vertex at (0.2)

More Similar Questions