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Algebra
Question

19. Which statement BEST describes how the graph o...

19. Which statement BEST describes how the graph of \( g ( x ) = - 3 x ^ { 2 } \) compares to the graph of \( f ( x ) = x ^ { 2 } \) ? 

A. The graph of \( g ( x ) \) is a vertical stretch of \( f ( x ) \) by a factor of \( 3 \) . 

B. The graph of \( g ( x ) \) is a reflection of \( f ( x ) \) across the \( x \) -axis. 

C. The graph of \( g ( x ) \) is a vertical shrink of \( f ( x ) \) by a factor of \( \frac { 1 } { 3 } \) and a reflection across the \( x \) -axis. 

D. The graph of \( g ( x ) \) is a vertical stretch of \( f ( x ) \) by a factor of \( 3 \) and a reflection across the \( x \) -axis. 

Answer

C

Solution
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