Algebra

Please help.!
1) Given the following three points, find by hand the quadratic function they represent. (0,6), (2,16), (3, 33)
A. f(x)=4x2−3x+6
B. f(x)=4x2+3x+6
C. f(x)=−4x2−3x+6
D. f(x)=−4x2+21x+6
2) Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2)
A. f(x)=−3x2+10x−1
B. f(x)=−3x2+4x−1
C.f(x)=−2x2+5x−1
D. f(x)=−5x2+8x−1
3) Find the equation of a parabola that has a vertex (3,5) and passes through the point (1,13).
A. y=−3(x−3)2+5
B. y=2(x−3)2+5
C. y=−2(x−3)2+5
D. y=2(x+3)2−5

  1. 👍
  2. 👎
  3. 👁
  1. #1 and #2 are the same type of problem
    I will do #1, you do #2 the same way

    let ax^2 + bx + c = y be the function ,
    for point (0,6) ---- 0 + 0 + c = 6, so c = 6
    for point (2,16) --- 4a + 2b + 6 = 16 , 2a + b = 5
    for point (3,33) --- 9a + 3b + 6 = 33, 3a + b = 9
    subtract those two: a = 4
    sub into 2a + b = 5
    8 + b = 5, b = 3
    then y = 4x^2 + 3b + 6 , which is choice B

    for #3, you should know the vertex-yintercept form of a parabola
    if the vertex is (3,5), then the equation must be
    y = a(x-3)^2 + 5

    but (1,13) lies on it, so
    13 = a(1-3)^2 + 5
    8 = 4a
    a = 2
    so y = 2(x-3)^2 + 5

    so you see that choice?

    1. 👍
    2. 👎
    👤
    Reiny
  2. Yesss. Thank you so much!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH

    Check It For Me Pleaseee Question 1 A) How do you know whether a relation is a function?(1 point) -By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements

  2. Math help and check

    Which kind of function best models the set of data points (–1, 22), (0, 6), (1, –10), (2, –26), and (3, –42)? linear **** quadratic exponential none of the above 2. Which kind of function best models the set of data points

  3. Mathematics

    Table of values represent a QUADRATIC FUNCTION OR NOT

  4. Urgent math

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

  1. algebra

    The table shows a meteorologists predicted temperatiures for an April day in Washington D.C. Use quadratic regression to find a quadratic model for this data. Use the 24 hour clock to represent times after noon). time predicted

  2. College Algebra

    The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not

  3. Math

    Question 2 For the function f(x) = 3x2-2x-7, find f(2). Answer f(2) = 13 f(2) = 25 f(2) = 1 f(2) = 1/2 3 points Question 3 One day you work 3 hours and your boss gives you $22. Another day after working 4 hours your boss gives you

  4. Algebra

    Please Help! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+4x−1 B. f(x)=−2x2+5x−1 C. f(x)=−3x2+10x−1 D. f(x)=−5x2+8x−1 Determine if

  1. Math

    Write an equation to represent a rational function with the following conditions: - reciprocal of a quadratic function - asymptotes with the equations x = -5, x= 4/3, and y = 0 - y < 0 whenever x < -5 - y-intercept of 1.5

  2. Pre-Calc

    A quadratic function has its vertex at the point (-5,-2). The function passes through the point (-8,-10). Find the quadratic and linear coefficients and the constant term of the function.

  3. MATH

    The perimeter of a rectangle is 540ft. Let x represent the width of the rectangle. Write a quadratic function for the area of rectangle in terms of its width. Find the vertex of the graph of the quadratic function and interpret

  4. Math

    a) Explain the relationship between the axis of symmetry and the quadratic formula. b) We know that the quadratic formula can be used to determine the roots of a quadratic function. However, the quadratic formula also reveals how

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