algebra

posted by .

I'm doing functions, and I don't know how I'm solving this equation wrong?
the equation is y = (x-2)^2 - 1
when I graph it, the shape is supposed to be a parabola.
I'm using -2,-1,0,1, and 2 as my X values.
But I'm getting 15, 8, 3, 0, and -1 for my Y values, respectively.

  • algebra -

    I'm not sure what you mean by solving it wrong, as you...don't appear to be solving it at all? Are you supposed to be finding the x-intercepts?

    The graph of this function is a parabola, with vertex at (-h, k). You can find this vertex from the form y = a(x-h)^2 + k. So, in this instance, the vertex is at (2, -1) - so that point will be the lowest point on the parabola.

    The numbers you have chosen are all to the left of or equal to the x value of the vertex of the parabola, which is why they all decrease and never increase. If you use 3 or a larger number as an x value, you'll see that the numbers begin increasing - at x = 3, we would have y = (3-2)^2 - 1 = 0 again, and so on.

    Does that answer your question, hopefully?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Quadratic Equations and Functions

    I started having trouble on part (c), and I need to know this before I can go onto the other problems. Plz help! The parabola shown at the right (no picture, sorry) is of the form y=x^2+bx+c. The graph's y-intercept is (0,2), the axis …
  2. Quadratic Equations and Functions

    I started having trouble on part (c), and I need to know this before I can go onto the other problems. Plz help! The parabola shown at the right (no picture, sorry) is of the form y=x^2+bx+c. The graph's y-intercept is (0,2), the axis …
  3. algebra II

    Can you please help me with the these problems. 8.Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 11x^2, but which has its vertex at (2, 9). 10. Use the vertex and intercepts to sketch …
  4. math

    How would I find the right window to graph a parabola in?
  5. Algebra

    I am supposed to write the standard equation of the parabola with the directrix x=1, and the vertex 6,2. I got y-6=1/4p(x-2)^2. Is this correct?
  6. Algebra

    How can you tell an equation's real or imaginary roots just from its graph, without knowing the equation?
  7. Parabola Help

    by plotting the graph of parabola y=2+3x-2x^2 which 3 option are true 1) the graph is the same as that of y=6+9x-6x^2 2)the parabola has a minimum point 3)the gradient of the parabola at x=2 is 0 4)the graphy=2+3x-2x^2crosses the x-axis …
  8. pre cal

    What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola?
  9. Trig

    A parabola has its vertex on the graph of the line y=3x+1 and passes through (1,10). If it is the same size,?
  10. algebra 2

    A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why a. factor …

More Similar Questions