multi choice question

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

May 28th, 2015

A parabola always opens upwards or downwards based on the value of a.

If a < 0, the parabola opens upwards.

If a > 0, the parabola opens downwards.

So, the lowest or the highest point(depending on the value of a) on the parabola will be the vertex.

This means the range of the parabola will never be  .

Let us take an example


Vertex = (-1, 2)

The range of f(x) is all the values of y coordinates.

So, range = [2, )

Domain of f(x) is all the values of x coordinates.

So, domain = 

The x-intercepts will be the real zeros of the function. These will be the values of x for which 

f(x) = 0

For the given example, it does not have any real zeros as it does not intersect the x-axis.



May 28th, 2015

The vertex form of equation of parabola is

where (h , k) is the vertex of the parabola.

In the example, vertex = (-1, 2) 

So, h = -1 , k = 2

The range is dependent on the  value of k and not on h.

So, option D)  is wrong.

May 28th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
May 28th, 2015
May 28th, 2015
Sep 20th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer