Find the Vertex and Focus of the Parabola $( y + 7 ) ^ { 2 } - 16 ( x + 3 ) = 0$

question 513

Multiple Choice

Find the vertex and focus of the parabola. $( y + 7 ) ^ { 2 } - 16 ( x + 3 ) = 0$

• A)vertex: \(( 3,7 )\) focus: \(( 3,7 )\)
• B)vertex: \(( 3,7 )\) focus: \(( - 9 , - 3 )\)
• C)vertex: \(( 3,7 )\) focus: \(( 3,23 )\)
• D)vertex: \(( - 3 , - 7 )\) focus: \(( - 3 , + 7 )\)
• E)vertex: \(( - 3 , - 7 )\) focus: \(( 1 , - 7 )\)

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Definitions:

Acetabular Labrum

A ring of cartilage surrounding the socket of the hip joint that helps to improve the stability of the joint.

Acetabulum

The socket in the pelvic bone that receives the head of the femur, forming the hip joint.

Articular Cartilage

Smooth, white tissue that covers the ends of bones where they come together to form joints, reducing friction during movement.

Synarthrotic

Referring to a type of joint that is completely immobile or fixed, offering stability to the skeletal structure.