Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is
.
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by
{Since
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
Answer:
See below.
Step-by-step explanation:
f(x) = -|x + 9|
compared to
f(x) = |x|
has a graph that opens downward in an upside down V shape.
It has been moved 9 units left compared to the graph of f(x) = |x|.
It reflects over the x-axis.