equation is:
so if its even f(-x) should be equal to f(x)
that means
so f(x) is not equal to f(-x) so its not even
If its odd than f(-x) should be equal to -f(x)
so as we can see f(-x)= - f(x)
so the function is odd
Ans:function is odd and not even
Write the equation for a parabola with the focus at (–1, 4) and the equation of the directrix x = 5.
2 answers:
A standard form of the equation of a rotated parabola is
(y - k)² = 4p(x - h)
where
(h, k) is the location of the vertex.
(h+p, k) is the location of the focus.
The directrix is the line x = h - p
Because the focus is at (-1, 4), therefore
h + p = -1 (1)
k = 4 (2)
Because the directrix is x = 5, therefore
h - p = 5 (3)
Add equations(1) and (3) to obtain
h + p + (h - p) = -1 + 5
2h = 4
h = 2
From (1), obtain
p = -1 - h = -1 - 2 = -3
The equation of the parabola is
(y - 4)² = -12(x - 2)
Answer: (y - 4)² = -12(x - 2)
(y - k)² = 4p(x - h)
where
(h, k) is the location of the vertex.
(h+p, k) is the location of the focus.
The directrix is the line x = h - p
Because the focus is at (-1, 4), therefore
h + p = -1 (1)
k = 4 (2)
Because the directrix is x = 5, therefore
h - p = 5 (3)
Add equations(1) and (3) to obtain
h + p + (h - p) = -1 + 5
2h = 4
h = 2
From (1), obtain
p = -1 - h = -1 - 2 = -3
The equation of the parabola is
(y - 4)² = -12(x - 2)
Answer: (y - 4)² = -12(x - 2)
You might be interested in
About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.
