An Equation of the Form $y ^ { 2 } = 4 p x$

question 22

Multiple Choice

An equation of the form $y ^ { 2 } = 4 p x$ is given. Identify the vertex, value of p, focus, focal diameter, and
endpoints of the latus rectum.
- $$4 y ^ { 2 } = 64 x$$

• A) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 4,0 )\); focal diameter: 16 , endpoints of latus rectum: \(( 4 , - 8 ) ; ( 4,8 )\)
• B) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 0,4 )\); focal diameter: 8 , endpoints of latus rectum: \(( 4 , - 4 ) ; ( 4,4 )\)
• C) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 0,4 )\); focal diameter: 16 , endpoints of latus rectum: \(( 8 , - 4 ) ; ( 8,4 )\)
• D) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 4,0 )\); focal diameter: 8 , endpoints of latus rectum: \(( 4 , - 4 ) ; ( 4,4 )\)

Calculate and interpret price elasticity values from given data or scenarios.

Deduce the relationship between price elasticity of demand and total revenue.

Identify how the price elasticity of demand changes along a linear demand curve.

Recognize the economic implications of price elasticity for businesses and consumers.

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