Graph Parabolas with Vertices Not at the Origin
Find the Vertex

question 76

Multiple Choice

Graph Parabolas with Vertices Not at the Origin
Find the vertex, focus, and directrix of the parabola with the given equation.
- $( x - 1 ) ^ { 2 } = 4 ( y + 4 )$

• A) vertex: \(( 1 , - 4 )\)
• focus: \(( 1 , - 3 )\)
• directrix: \(y = - 5\)
• B) vertex: \(( - 1,4 )\)
• focus: \(( - 1,5 )\)
• directrix: \(y = 3 \quad\)
• C) vertex: \(( - 4,1 )\)
• focus: \(( - 4,2 )\)
• directrix: \(y = 0\)
• D) vertex: \(( 1 , - 4 )\)
• focus: \(( 1 , - 5 )\)
• directrix: \(x = - 3\)

---

Definitions:

Charity

An entity established to offer assistance and collect funds for individuals who require support.

Philanthropy

The act of donating money, goods, services, or time to support charitable causes or organizations for the public good.

Philanthropic Nonprofit Organizations

Entities dedicated to advancing welfare or social causes without the intent of making a profit for their owners or shareholders.

Purely Philanthropic

Activities or initiatives completely driven by a desire to promote the welfare of others, typically characterized by voluntary financial donations without expectation of any return.