Maths-
General
Easy

Question

How are the form and graph of f(x) = ax2 + bx + c similar to the form and graph of g(x) = ax2 + bx? How are they different?

The correct answer is: (0,0)


    We have given the two functions
    f(x) = ax2 + bx + c
    g(x) = ax2 + bx
    By analyzing both the equations we get that both the equation are of same format
    In first equation the constant c is present whereas in second equation constant c is zero. So we know that in the standard form this constant represents the y- intercept of the curve.
    So the first curve intercepts y axis at (0,c)
    And second curve intercepts y axis at (0,0)

    Related Questions to study

    General
    Maths-

    How is the standard form of a quadratic function different from vertex form?

    How is the standard form of a quadratic function different from vertex form?

    Maths-General
    General
    Maths-

    Suppose the path of the ball in above figure is f(x) = -0.25(x-1)2 + 6.25. Find the ball’s initial and maximum heights.

    Suppose the path of the ball in above figure is f(x) = -0.25(x-1)2 + 6.25. Find the ball’s initial and maximum heights.

    Maths-General
    General
    Maths-

    Mia tosses a a ball to her dog. The function -0.5(x-2)2 + 8 represents the ball path.

    Mia tosses a a ball to her dog. The function -0.5(x-2)2 + 8 represents the ball path.

    Maths-General
    parallel
    General
    Maths-

    The trajectory of the water from Fountain A is represented by a function in standard form while the trajectory of the water from Fountain B is represented by table of values. Compare the vertex of each function. Which trajectory reached greatest height in feet?

    The trajectory of the water from Fountain A is represented by a function in standard form while the trajectory of the water from Fountain B is represented by table of values. Compare the vertex of each function. Which trajectory reached greatest height in feet?

    Maths-General
    General
    Maths-

    Graph f(x) = 0.25x2 – 0.5x - 6. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = 0.25x2 – 0.5x - 6. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    General
    Maths-

    Graph f(x) = -3x2 - 6x - 5. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = -3x2 - 6x - 5. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    parallel
    General
    Maths-

    Graph f(x) = -0.5x2 + 2x + 3. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = -0.5x2 + 2x + 3. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    General
    Maths-

    Graph f(x) = 2x2 + 8x - 1. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = 2x2 + 8x - 1. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    General
    Maths-

    Graph f(x) = -0.75x2 + 3x - 4. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = -0.75x2 + 3x - 4. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    parallel
    General
    Maths-

    Graph f(x) = x2 + 2x + 4. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = x2 + 2x + 4. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    General
    Maths-

    Graph f(x) = 2x2 + 4x + 3. What are axis of symmetry, vertex and y-intercept of the function

    Graph f(x) = 2x2 + 4x + 3. What are axis of symmetry, vertex and y-intercept of the function

    Maths-General
    General
    Maths-

    Evaluate f(x) = ax2 + bx + c for x = 0. How does f(0) relate to the result in the above question?

    Evaluate f(x) = ax2 + bx + c for x = 0. How does f(0) relate to the result in the above question?

    Maths-General
    parallel
    General
    Maths-

    What information does c provide above the graph of f(x) = ax2 + bx + c

    What information does c provide above the graph of f(x) = ax2 + bx + c

    Maths-General
    General
    Maths-

    In a survey, customer select item A or item B. Item A is selected by 20 males 10 females. Of 20 customers who select item B, five are males.
    Construct a two-way frequency table to organize the data.

    In a survey, customer select item A or item B. Item A is selected by 20 males 10 females. Of 20 customers who select item B, five are males.
    Construct a two-way frequency table to organize the data.

    Maths-General
    General
    General

    Which verb is the action verb ?
    She is walking on footpath .

    Which verb is the action verb ?
    She is walking on footpath .

    GeneralGeneral
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.