Compare the Graph Of $s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9$

question 98

Multiple Choice

Compare the graph of $s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9$ with $s ( x ) = x ^ { 2 }$ .

• A) \(s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9\) shifts right 5 units, shifts downward 9 units, and shrinks by a factor of \(\frac { 1 } { 5 }\).
• B) \(s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9\) shifts right 5 units, shifts upward 9 units, and stretches by a factor of 5 .
• C) \(s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9\) shifts left 5 units, shifts downward 9 units, and stretches by a factor of 5 .
• D) \(s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9\) shifts right 5 units, shifts upward 9 units, and shrinks by a factor of \(\frac { 1 } { 5 }\).
• E) \(s ( x ) = 5 ( x - 5 ) ^ { 2 } + 9\) shifts left 5 units, shifts upward 9 units, and stretches by a factor of 5 .