What is the slope of a line that is perpendicular to the line y = 1?
1 answer:
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Answer:
The equation of the parabola is .
Step-by-step explanation:
Since the directrix is of the form , the parabola is vertical. The vertex of the parabola (
) is the midpoint between the focus (
) and a point of the directrix (
), that is to say:
(1)
If we know that and
, then the coordinates of the vertex of the parabola:
The vertex factor () is the distance of the focus with respect to the vertex:
(2)
If we know that and
, then the vertex factor is:
The equation of the parabola in the vertex form is described below:
(3)
Where:
- Independent variable.
- Dependent variable.
- Coordinates of the vertex.
If we know that and
, then the equation of the parabola is
.
Answer:
f(-4) = -12
Step-by-step explanation:
To calculate f(-4), we need to substitute x in our equation above with -4:
Note that 2*(-4) = -8
Answer: f(-4) = -12