Find the vertex, focus, and directrix of the parabola. Graph the equation.
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A)vertex: (-7, -4)focus: (-5, -4)directrix: x = -9
B)vertex: (-7, -4)focus: (-9, -4)directrix: x = -5
C)vertex: (-7, -4)focus: (-7, -2)directrix: y = -6
D)vertex: (-7, -4)focus: (-7, -6)directrix: y = -2

Question

Find the vertex, focus, and directrix of the parabola. Graph the equation.
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A)vertex: (-7, -4)focus: (-5, -4)directrix: x = -9 
B)vertex: (-7, -4)focus: (-9, -4)directrix: x = -5 
C)vertex: (-7, -4)focus: (-7, -2)directrix: y = -6 
D)vertex: (-7, -4)focus: (-7, -6)directrix: y = -2

Quizplus · Accepted Answer

The vertex is at (-7, -4) which is given by the coordinates of the minimum point of the parabola.
The focus is at (-5, -4) which is two units to the right of the vertex along the axis of symmetry.
The directrix is a vertical line located at x = -9 which is two units to the left of the vertex along the axis of symmetry. 
By plugging in a few points to the equation, we can see that the graph opens to the left. The graph should look like a mirror reflection of a standard parabola opening to the right.

Find the Vertex, Focus, and Directrix of the Parabola