Maths-
General
Easy

Question

y equals left parenthesis x plus 5 right parenthesis squared minus 8
The equation above can be represented by a parabola in the -plane. The parabola is then translated so that the vertex is at (0, 0). Which of the following best describes the translation?

  1. 5 units in the negative x direction and 8 units in the negative y direction
  2. 5 units in the negative x direction and 8 units in the positive y direction
  3. 5 units in the positive x direction and 8 units in the negative y direction
  4. 5 units in the positive x direction and 8 units in the positive y direction

The correct answer is: 5 units in the positive x direction and 8 units in the positive y direction


    HINT : Draw graph and check (best way and no confusion)
    Explanation:
    Let the new coordinates be X,Y
    then new shifted equation be Y=X2 with (0,0) as vertex
    Now the old equation be y+8 = (x+5)2
    Now lets compare the  new and old coordinates of x and y
    On comparison X= x+5 (i. e shift 5 units to positive x direction)
    On comparison Y= y+8 (i. e shift 8 units to positive y direction)

    Related Questions to study

    General
    Maths-

    vertical line x plus 2 vertical line equals vertical line x minus 8 vertical line
    What is the solution to the given equation?

    vertical line x plus 2 vertical line equals vertical line x minus 8 vertical line
    What is the solution to the given equation?

    Maths-General
    General
    Maths-


    What is an equation of the graph shown?


    What is an equation of the graph shown?

    Maths-General
    General
    Maths-

    Which expression is equivalent to g to the power of 4 over 5 end exponent h to the power of 2 over 5 end exponent, where g and h are positive?

    Which expression is equivalent to g to the power of 4 over 5 end exponent h to the power of 2 over 5 end exponent, where g and h are positive?

    Maths-General
    parallel
    General
    Maths-

    Which expression is equivalent to x to the power of 4 minus 18 x squared plus 81 ?

    Which expression is equivalent to x to the power of 4 minus 18 x squared plus 81 ?

    Maths-General
    General
    Maths-


    Triangle DEF (not shown) is similar to triangle ABC above, where side DE corresponds to side AB, side DF corresponds to side AC , and DE = AB. What is the measure of angle DEF ?


    Triangle DEF (not shown) is similar to triangle ABC above, where side DE corresponds to side AB, side DF corresponds to side AC , and DE = AB. What is the measure of angle DEF ?

    Maths-General
    General
    Maths-


    The function f models Jack's pulse, in beats per minute (bpm), as a function of his speed, in kilometers per hour (km/h), on a stationary bicycle. Based on the model, what was Jack's pulse, in bpm, when his sped was 0 km/h?


    The function f models Jack's pulse, in beats per minute (bpm), as a function of his speed, in kilometers per hour (km/h), on a stationary bicycle. Based on the model, what was Jack's pulse, in bpm, when his sped was 0 km/h?

    Maths-General
    parallel
    General
    Maths-

    ka + nb = 10
    The given equation relates the positive numbers a, b, k and n. Which of the following correctly expresses a in terms of b, k , and n ?

    ka + nb = 10
    The given equation relates the positive numbers a, b, k and n. Which of the following correctly expresses a in terms of b, k , and n ?

    Maths-General
    General
    Maths-


    What system of linear equations is represented by the lines shown?


    What system of linear equations is represented by the lines shown?

    Maths-General
    General
    Maths-

    What is the x-intercept of the graph of 8x + 6y = 24 in the xy-plane?

    What is the x-intercept of the graph of 8x + 6y = 24 in the xy-plane?

    Maths-General
    parallel
    General
    Maths-

    A college mathematics department plans to spend straight $1,800 buying computers and books. Each computer costs straight $300 and each book costs straight $90 . Which equation represents this situation, where x is the number of computers and y is the number of books that the department can buy?

    A college mathematics department plans to spend straight $1,800 buying computers and books. Each computer costs straight $300 and each book costs straight $90 . Which equation represents this situation, where x is the number of computers and y is the number of books that the department can buy?

    Maths-General
    General
    Maths-

    Which of the following is equivalent to 2 open parentheses x squared minus x close parentheses plus 3 open parentheses x squared minus x close parentheses?

    Which of the following is equivalent to 2 open parentheses x squared minus x close parentheses plus 3 open parentheses x squared minus x close parentheses?

    Maths-General
    General
    Maths-

    2 x minus y equals 8
    x plus 2 y equals 4
    For the system of equations above, what is the value of x + y?

    2 x minus y equals 8
    x plus 2 y equals 4
    For the system of equations above, what is the value of x + y?

    Maths-General
    parallel
    General
    General

    Ohm's law is applicable to

    • Ohm's law is not applicable for non ohmic conductors.
    • It is only true for ohmic conductors.

    Ohm's law is applicable to

    GeneralGeneral

    • Ohm's law is not applicable for non ohmic conductors.
    • It is only true for ohmic conductors.

    General
    General

    A cinquain poem is a collection of __________.

    A cinquain poem is a collection of __________.

    GeneralGeneral
    General
    General

    Find the equation to find the total area of the given figure.

    For such questions, we should know distributive property.

    Find the equation to find the total area of the given figure.

    GeneralGeneral

    For such questions, we should know distributive property.

    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.