math

What are three points that you can plot to graph the function f(x)=2x²- 5?

I don't understand this

  1. 👍 0
  2. 👎 0
  3. 👁 117
  1. In general, to plot a parabola, it would help to know the vertex, the zeroes (if any) and the y-intercept.

    The y-intercept is simply f(0), i.e. when x=0. For this case f(0)=-5.

    The zeroes can be found as
    f(x)=x²-5=0
    =>
    x=±√(5/2)
    These are the points where the parabola intersect the x-axis.

    The third and most important point is the vertex (h,k) for a parabola in the canonical form:
    f(x)=a(x-h)+k
    The given parabola is already in the canonical form, from which we determine that h=0, k=-5, or the vertex is at (0,-5).

    Finally, the curvature is determined by the leading coefficient a, i.e. the coefficient of x², or 2.
    Since a>0, the parabola is concave up. Conversely, if a<0, then the parabola is concave down.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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
  2. Trigonometry

    Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis

    asked by Shelby on March 24, 2014
  3. algebra

    Using the intercepts to graph the equation X + 5y = 10 What points would I plot on the graph?

    asked by C on June 4, 2008
  4. math

    Graph the quadratic functions y = -2x2 and y = -2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs. (3 points)

    asked by Boobear on March 25, 2013
  5. math

    An expression is shown below: f(x) = 2x2 − 5x + 3 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the

    asked by help on May 23, 2018
  1. graphing help?

    Graph ​ g(t)=4sin(3t)+2 ​. Use 3.14 for π . Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point. How

    asked by sasha on May 4, 2017
  2. math

    okay, sorry for last post but this one i'm stuck on. Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your response sorry that i cant put the graph down.

    asked by SkatingDJ on January 11, 2015
  3. pre-cal: graphs of functions- fill in the blank

    To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points

    asked by Anonymous on September 16, 2007
  4. calculus

    Please help me solve. I think increase = concave up and decrease = concave down? On the graph y = x^5-15x^3+10 for x what intervals is the function increasing, decreasing, concave up and concave down. Plot the critical points,

    asked by andy on July 21, 2012
  5. algebra

    --I don't get the compression part ( I know it has to do with the first number/ term..the a part) Identify the transformations of the graph of ƒ (x) = x 3 that produce the graph of the given function g (x). Then graph g (x) on

    asked by ariana on December 10, 2019
  6. Trigonometry

    Sketch a height versus time graph of the sinusoidal function that models each situation. draw at lease three cycles. assume that the first point plotted on each graph is at the lowest point: a girl lying on a an air mattress in a

    asked by Allison on January 1, 2011

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