Quadratic Functions2

Determine the standard form of a quadratic function whose graph has a y intercept of 8 and a vertex at (-2,-4). The answer is f(x)= 3x^2 + 12x +8 but I can't figure out how to get the answer.

Solve x^2 + x=6, by factoring. The answer is x=-3,2 but I can't figure out how to get the answer.

Solve 2x^2 - 5= 3x, using the quadratic formula. The answer is x=-1, 2.5 but I can't figure out how to get the answer.

  1. 👍
  2. 👎
  3. 👁
  1. This question and the other one I just answered for you are fundamental questions that you just have to know how to do in this topic.
    To simply say, "I can't figure out how to get the answer" tells me you are not even in the course.
    since you know the vertex, the equation must be
    y = a(x+2)^2 - 4
    since (0,8) lies on it ....
    8 = a(2^2) - 4

    12 = 4a
    a = 3

    f(x) = 3(x+2)^2 - 4
    I will leave it up to you to expand it and get the desired answer

    x^2 + x=6
    x^2 + x - 6 = 0
    (x+3)(x-2) = 0
    and ......

    2x^2 - 5= 3x
    2x^2 - 3x - 5 = 0

    a = 2, b = -3, c = -5
    now just grind it out

    1. 👍
    2. 👎
  2. Than you Reiny for your help. And yes, I am in this course. I figured out the answer, I wanted to make sure that I was doing the correct steps.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The graph of a quadratic function has vertex(3,-4) and passes through the point (4,1). Find the equation of the function in standard form. Rewrite the equation in general form. Could someone explain to me how to do this, just

  2. math

    This is for the pretest. What is the solution to the system of equations pictured below? A.(-3,5) B.(-3,-2) C(3,4) D.(1,2) E(6,-2) When writing in slope intercept form what does the 'm" Represent? What is the 'b'? A. M is the x

  3. Math(check)

    1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)=

  4. algebra

    PLEASE HELP!! 3) When converting a system of linear equations into an augmented matrix, what equation form is needed? Slope-intercept form negative form graph form standard form 4) what does the vertical line in an augmented

  1. math

    the graph of a quadratic function has x-intercepts -1 and 3 and a range consisting of all numbers less than or equal to 4. Determine an expression for the function.

  2. Mathematics

    For question 1 & 2, find the x- and y-intercept of the line. 1. -10x + 5y = 40 A. x-intercept is 5; y-intercept is -10 B. x-intercept is 8; y-intercept is -4 C. x-intercept is -10; y-intercept is 5 D. x-intercept is -4;

  3. Algebra

    Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function. So far

  4. Urgent math

    A quadratic function is given. f(x) = x2 − 8x + 8 (a) Express the quadratic function in standard form.

  1. college algebra

    determine the quadratic function f whose graph is given. the vertex is (1,-3) y intercept is -2 please show work so i can see how this is done, thank you!

  2. Math

    A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.

  3. calculus

    Determine the quadratic function f, whose graph is given. **The graph given is (0,-2) and (3,-11) The vertex is (3,11) and the y-intercept is -2 So, f(x)= **Please help me understand how to do this question. Could you please show

  4. 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.

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