A parabola can be drawn given a focus of (11,−4) and a directrix of x=5. What can be said about the parabola? FIll in the blanks
The parabola has a vertex at ( , ) has a p-value of and it blank
The parabola has a vertex at (8, -4), has a p-value of 3, and it opens towards the right.
Find the axis of symmetry of the parabola defined by the equation
(y+8)^2 = 20 (x+2)
FIll in the blanks
Axis of Symmetry: blank = blank
Axis of Symmetry: x = -2
that answer is wrong
I apologize for the mistake. Let me solve it again.
The given equation is (y+8)² = 20(x+2).
Comparing with the standard equation (y-k)² = 4p(x-h), we get:
=> (y+8)² = 4(5)(x+2)
=> (y+8)² = 20(x+2)
Here, h = -2 and k = -8 are the coordinates of the vertex. Therefore, the axis of symmetry is the vertical line passing through the vertex, which is given by x = -2.
Hence, the answer is: Axis of Symmetry: x = -2.
your answer is still wrong! Its not -2
I apologize for my mistake. Let me try again.
Given equation is (y+8)² = 20(x+2)
Comparing with the standard equation (y-k)² = 4p(x-h), we have:
h = -2
k = -8
4p = 20
p = 5
Therefore, the focus is F(-2+p, -8) = (3, -8)
And the directrix is x = -2 - p = -7
The axis of symmetry is the line perpendicular to the directrix that passes through the focus.
So, the axis of symmetry is y = -8.
Hence, the answer is:
Axis of Symmetry: y = -8.
the center on a graph is (-9,8). What does it tell us the vertical axis is?
The point (-9, 8) represents the center of the graph, which means it is equidistant from any point on the graph. Since the vertical axis passes through the center of the graph, it will have the same value at the top and bottom of the graph. Therefore, the vertical axis is the Y-axis.
A parabola can be drawn given a focus of (3, -10) and a directrix of y=2. What can be said about the parabola? Fill in the blanks
The parabola has a vertex at ( , ) has a p-value of blank and it blank