Maths-
General
Easy

Question

A ball is tossed into the air. The function f(x)= -16x2 +4x+5 represents the height in feet of the ball x seconds after it is thrown. At what height was the ball tossed into the air ?

The correct answer is: C= 5


    Solution:-
    We have given a function of a ball which is tossed in air which represents the height in feet of ball x seconds after it is thrown .
    So, when the ball was tossed x = 0
    So for x= 0 the value of function will be y- intercept
    The standard quadratic form is ax2+bx+c=y
    In this the term c gives us the y-intercept of the curve
    The given function is
    f(x)= -16x2 +4x+5
    In the given case c gives the height from which the ball is thrown.
    C= 5
    So, height from which the ball is tossed is 5 feets.

    Related Questions to study

    General
    Maths-

    Graph the function f(x)= -3x2 +12x+5

    Graph the function f(x)= -3x2 +12x+5

    Maths-General
    General
    Maths-

    Identify the y – intercept , axis of symmetry , and vertex of the graph of each function . H(x)= -3x2+7x+1

    Identify the y – intercept , axis of symmetry , and vertex of the graph of each function . H(x)= -3x2+7x+1

    Maths-General
    General
    Maths-

    Identify the y – intercept , axis of symmetry , and vertex of the graph of each function . G(x)= -x2+4x+5

    Identify the y – intercept , axis of symmetry , and vertex of the graph of each function . G(x)= -x2+4x+5

    Maths-General
    parallel
    General
    Maths-

    Graph the function f(x)= 3x2-6x+2

    Graph the function f(x)= 3x2-6x+2

    Maths-General
    General
    Maths-

    Two models are used to predict monthly revenue for a new sports drink. In each model, x is the number of $1 – price increases from the original $2 per bottle price.
    Model A : f(x)= -12.5 x2+75x+200
    Model B:

    Two models are used to predict monthly revenue for a new sports drink. In each model, x is the number of $1 – price increases from the original $2 per bottle price.
    Model A : f(x)= -12.5 x2+75x+200
    Model B:

    Maths-General
    General
    Maths-

    What is the maximum value of f(x)= -4x2 +16x+12

    What is the maximum value of f(x)= -4x2 +16x+12

    Maths-General
    parallel
    General
    Maths-

    An object is launched at 64 ft per second from an elevated platform , The Quadratic function shown in the table model its trajectory f(x) over time, x, select all the true statements .

    X

    0

    1

    2

    4

    F(x)

    6

    54

    70

    6

    An object is launched at 64 ft per second from an elevated platform , The Quadratic function shown in the table model its trajectory f(x) over time, x, select all the true statements .

    X

    0

    1

    2

    4

    F(x)

    6

    54

    70

    6

    Maths-General
    General
    Maths-

    A banner is hung for a party . The distance from a point on the bottom edge of the banner to the floor can be determined by using the function f(x)= 0.25x2 -x+9.5, where x is the distance , in feet , of the point from the left end of the banner . How high above the floor is the lowest point on the bottom edge of the banner , Explain.

    A banner is hung for a party . The distance from a point on the bottom edge of the banner to the floor can be determined by using the function f(x)= 0.25x2 -x+9.5, where x is the distance , in feet , of the point from the left end of the banner . How high above the floor is the lowest point on the bottom edge of the banner , Explain.

    Maths-General
    General
    Maths-

    The position of a ball after it is kicked can be determined by using the function f(x)= -0.11 x2+2.2x+1, where y is the height , in feet , above the ground and x is the horizontal distance , in feet above the ground and x is the horizontal distance, in feet, of the ball from the point at which it was kicked . What is the height of the ball when it is kicked ? What is the highest point of the ball in the  air ?

    The position of a ball after it is kicked can be determined by using the function f(x)= -0.11 x2+2.2x+1, where y is the height , in feet , above the ground and x is the horizontal distance , in feet above the ground and x is the horizontal distance, in feet, of the ball from the point at which it was kicked . What is the height of the ball when it is kicked ? What is the highest point of the ball in the  air ?

    Maths-General
    parallel
    General
    Maths-

    The balls are tossed up into the air . The function f(x)= -4.9x2 +14.7 x+0.975 models the path of Ball A. the path of ball B over time is shown in the table. Which ball reaches a greater height ? How much greater . Explain how you can answer without graphing either function .

    The balls are tossed up into the air . The function f(x)= -4.9x2 +14.7 x+0.975 models the path of Ball A. the path of ball B over time is shown in the table. Which ball reaches a greater height ? How much greater . Explain how you can answer without graphing either function .

    Maths-General
    General
    Maths-

    Write each function in standard form . F(x)= - (x+3)2+8

    Write each function in standard form . F(x)= - (x+3)2+8

    Maths-General
    General
    Maths-

    Write each function in standard form .
    F(x)= -2(x-9)2 +15

    Write each function in standard form .
    F(x)= -2(x-9)2 +15

    Maths-General
    parallel
    General
    Maths-

    Write each function in standard form . F(x)= 4(x+1)2 -3

    Write each function in standard form . F(x)= 4(x+1)2 -3

    Maths-General
    General
    Maths-

    Compare each function to f, shown in the table. Which function has lesser minimum value? Explain


    h(x) = x2 + x – 3.5

    Compare each function to f, shown in the table. Which function has lesser minimum value? Explain


    h(x) = x2 + x – 3.5

    Maths-General
    General
    Maths-

    Compare each function to f, shown in the table. Which function has lesser minimum value? Explain

    g(x) = 2x2 + 8x + 3

    Compare each function to f, shown in the table. Which function has lesser minimum value? Explain

    g(x) = 2x2 + 8x + 3

    Maths-General
    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.