Which of the following statements are true about the function below? Select all that apply. f(x)=(x-4)^2-1
1 answer:
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Answer:
y²=4√2.x
Step-by-step explanation:
The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.
The distance between the focus and the directrix of the parabola P is
=
{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by }
Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax
{Since the parabola has vertical directrix}
Hence, the distance between focus and the directrix is 2a = , {Two parabolas are congruent when the distances between their focus and the directrix are same}
⇒ a=√2
Therefore, the equation of the parabola is y²=4√2.x (Answer)
Answer:
81
Step-by-step explanation:
Since the question states that the only difference would be the length of the neighbor's pool then this is basically a ratio problem. Therefore, since the question provides 3 values and one variable we can solve this using the Rule of Three which takes the diagonal values multiplies them together, and divides by the last sole value to get calculate the variable like so...
243 volume <=====> 9 m length
x volume <=====> 3 m length
(3* 243) / 9 = 81
Therefore, the volume of the neighbors pool will be 81