maths

Given the quadratic equation y = -x^2 + 2x + 3.
a) Will the graph turn upwards or downwards?
b) What are the coordinates of x and y intercepts?
c) What is the coordinate of the turning point?
d) Use your answer in parts (a,b,c and d) to sketch the graph.

  1. 👍 0
  2. 👎 0
  3. 👁 90
asked by Shane
  1. (a) the -x^2 means it opens downward
    (b) set x=0 to get y-intercept
    Since y = (1-x)(x-3) the x-intercepts are easy to see.
    (c) as usual, the vertex is at x = -b/2a = 1. Find y(1).

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    Given the quadratic equation y = -x^2 + 2x + 3. a) Will the graph turn upwards or downwards? b)What are the coordinates of x and y intercepts? c)What is the coordinate of the turning point? d)Use your answer in parts (a,b,c,and d)

    asked by Shane on May 2, 2014
  2. Math

    I am stumped could someone please explain this problem? Give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y=x^2+2x-15 Equation: x^2+2x-15=0 Thanks so much.

    asked by B.B. on September 18, 2009
  3. Math

    I am stumped on this problem could someone please help? Give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y=x^2+2x-15 Equation: x^2+2x-15=0 Thanks.

    asked by B.B. on September 17, 2009
  4. ALGEBRA

    What does it mean to give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y = x^2 + 2x - 15 Equation: x^2 + 2x - 15 = 0

    asked by ggift on September 16, 2009
  5. math

    State the solutions, or estimated solutions, to each quadratic equation in Exercises 23–26 by examining the graph of the related quadratic function equation 2x2 - 3x - 4 = 0 and Graph:y=2x^2-3x-4 Can someone help me with this

    asked by Alex on April 23, 2010
  6. math

    Heather is solving an equation by graphing the expressions on both sides. If her graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve? A. One side of the

    asked by kristy on January 12, 2016
  7. Math

    I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this

    asked by Alex on November 3, 2014
  8. Algebra

    I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=-x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x-2. Identify the

    asked by Connor Steelwood on March 21, 2019
  9. Algebra

    I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=-x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x-2. Identify the

    asked by Connor Steelwood on March 22, 2019
  10. Quadratic Functions

    Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the

    asked by Carmen on October 13, 2007

More Similar Questions