What transformations change the graph of \( f(x) \) to the graph of \( g(x) \)?

\[ f(x) = -7x^2 \]
\[ g(x) = -35x^2 + 5 \]

shift 5 in along the positive g(x) axis due to the + 5

Answered by Lilith | 2024-06-10

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5 and translated up 5 units.
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Answered by rebeccagray115 | 2024-06-12

The transformation from f ( x ) = − 7 x 2 to g ( x ) = − 35 x 2 + 5 involves a vertical stretch by a factor of 5 and an upward shift of 5 units. This means the graph of f ( x ) is transformed into g ( x ) by these two adjustments.
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Answered by Lilith | 2024-12-20