Write the Equation of the Parabola in Standard Form and Find

question 119

Multiple Choice

Write the equation of the parabola in standard form and find the vertex of its graph. $y = x ^ { 2 } + 10 x + 16$

• A) \(y = ( x + 5 ) ^ { 2 } - 9\) ; vertex: \(( 5 , - 41 )\)
• B) \(y = ( x - 5 ) ^ { 2 } + 11\) ; vertex: \(( 5,41 )\)
• C) \(y = ( x + 8 ) ( x + 2 )\) ; vertex: \(( 10,16 )\)
• D) \(y = ( x + 5 ) ^ { 2 } - 9\) ; vertex: \(( - 5 , - 9 )\)
• E) \(y = ( x + 5 ) ^ { 2 } + 41\) ; vertex: \(( - 5,41 )\)

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Definitions:

Taut

Stretched or pulled tight; not slack.

Dehiscence

The surgical complication in which a wound ruptures along a surgical incision, potentially leading to exposure of internal organs or tissues.

Exudate

Fluid, such as pus or clear fluid, that leaks out of blood vessels into nearby tissues, often as a result of inflammation or injury.

Eschar

A dry, dark scab or falling away of dead skin typically formed on a wound or burn site.