MAY YOU PLZ HELP ME!!!! WILL MARK BRAINLIEST!!!!
1 answer:
You might be interested in
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.
If you expand the square, you have
Simplify the right hand side:
Cancel the -3x appearing on both sides:
Multiply both sides by 4:
Consider the square root of both terms (using the doubles sign):