Prove that quadrilateral Q(1, -2), D(13, 4), A(6, 8) and U(-2, 4) is a trapezoid. Slope of AD ___________ Slope of QD __________
1 answer:
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Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
where , the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A,
For option B,
For option C,
For option D,
Since, the equation is option A has smallest value of |p|, therefore, the equation represents the steepest parabola.
Hence, the correct option is A.