Answer:
x=4
Step-by-step explanation:
Yes it is a function any single value of x has only one value of y
the square root is 30.0333148
The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
<h3>What is Directrix of a Parabola ?</h3>
A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
To know more about Directrix
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Answer:
Sorry my mistake, it is actually worded as "f(x) =(x+6)^2"
Explanation:
y
=
(
x
+
6
)
2
with
x
≥
−
6
, then
x
+
6
is positive, so
√
y
=
x
+
6
And
x
=
√
y
−
6
for
y
≥
0
So the inverse of
f
is
g
(
x
)
=
√
x
−
6
for
x
≥
0