Write the equation for and graph the parabola? focus:(-6,7) opens:left contains:(-6,5)
1 Answer
Explanation:
The vertex form for the equation of a parabola that opens left or right is:
In a parabola of this type, the focus has the same y coordinate, k, at the vertex. Substitute the k = 7 into the vertex form:
The distance from the point
The directrix will be a vertical line the same distance from the focus in the positive x direction:
The x coordinate of the vertex, h, will be at the midpoint between the focus and the directrix:
Substitute
We can use the point
Substitute
The graph is:
graph{x=-1/4(y-7)^2-5 [-33.95, 2.09, -1.42, 16.61]}