Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
Stationary points occur where the derivative is zero. The denominator is positive for all
, so we only need to worry about the numerator.
for all
, so we can divide through:
But
for all
, so this function has no stationary points...
I suspect there may be a typo in the question.
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is any positive number, that means the quadratic will have 2 real roots, or solutions.
Since the discriminant, 36, is a positive number, this will apply.
So, if the discriminant is 36, there will be 2 real roots.
Total shells Sandy had = 5
Shells Mageret got = 3
Balance of Seashells
5 - 3
2
Check the picture below.
notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.
keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.