Home
Class 12
MATHS
The 3 parabola graphed in the standard (...

The 3 parabola graphed in the standard (x,y) coordinate plane below are from a family of parabolas. A general equation that defines this family of parabolas contains the variable n in addition to x and y. For one of the parabolas shown , n = 1, for following could be a general equation that defines this family of parabolas for all `n ge 1`?

A

`y = nx^(2) +1`

B

`y = 1/n x^(2) + 1`

C

`y = x^(2) + n`

D

`y = -nx^(2) + 1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST 1

    ENGLISH SAT|Exercise EXERCISE|60 Videos

  • PRACTICE TEST

    ENGLISH SAT|Exercise MATH TEST (WITH CALCULATOR)|37 Videos

  • PRACTICE TEST 2

    ENGLISH SAT|Exercise Multiple Choice|58 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

The order of the differential equation of the family of parabolas symmetric about y=1 and tangent to x = 2 is

The equation of the directrix of the parabola x^(2) = 8y is

Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of x is y y_2+y1 2=0.

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

The equation to the normal to the parabola x^(2) = 2y at (1, 2) is

The equation of the diirectrix of the parabola is 3x+2y+1-0 . The focus is (2,1) . Find the equation of the parabola.

ENGLISH SAT-PRACTICE TEST 1-EXERCISE
  1. For 20 quiz scores in a typing class, the table below gives the freque...

    Text Solution

    |

  2. In the complex numbers, where i^(2) = -1.

    Text Solution

    |

  3. Temperature measured in degrees Fahrenheit (F) are related to tempera...

    Text Solution

    |

  4. The table below gives experimental data value for variables x and y. T...

    Text Solution

    |

  5. During a snowstorm, the relationship between the depth of accumulated ...

    Text Solution

    |

  6. Diana is baking bread, and the original recipe calls for 1 1/2 teaspoo...

    Text Solution

    |

  7. For all nonzero values of x, (12x^(6) - 9x^(2))/(3x^2) = ?

    Text Solution

    |

  8. Four matrices are given below. W = [(1,2),(5,8)] X = [(3,9),(7,4)] Y...

    Text Solution

    |

  9. The 3 parabola graphed in the standard (x,y) coordinate plane below ar...

    Text Solution

    |

  10. After polling a class of 20 music students by a show of hands, you fin...

    Text Solution

    |

  11. A teacher assigns each of her 18 students a different interger from 1 ...

    Text Solution

    |

  12. Lucky found $8.25 in pennies, nickels, dimes, and quarters while walki...

    Text Solution

    |

  13. Given 10^((2x-1)/x) = 1, x = ?

    Text Solution

    |

  14. The table below shows the results of a survey of 250 people who were a...

    Text Solution

    |

  15. Mario was ridiing a bicycle with wheels 26 inches in diameater, During...

    Text Solution

    |

  16. Whenever j and k are positive integers such that (sqrt3)^(j) = 27^(k) ...

    Text Solution

    |

  17. A finite arithmetic sequence has 7 terms, and the first term is 3/4. W...

    Text Solution

    |

  18. In the circle with center D shown below, the length of radius bar(CD) ...

    Text Solution

    |

  19. The lengths of the triangle shown below are rounded to the nearest 0.1...

    Text Solution

    |

  20. The probability distribution of the discrete random variable X is show...

    Text Solution

    |