Describe how the graph of the function g (x) = 3x2 - 2 is related to the graph of the function f (x) = x^2

Question

Mathematics

Alyssa Ware

9 May, 09:15

Describe how the graph of the function g (x) = 3x2 - 2 is related to the graph of the function f (x) = x^2

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Montes · Answer 1

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Step-by-step explanation:

ƒ (x) = x²; g (x) = 3x² - 2

In g (x),

The coefficient of x² is greater than 1, so the graph is narrowed about the axis of symmetry. The constant term is - 2, so the graph is shifted down two units.

In the figure, ƒ (x) is the blue graph and g (x) is the red graph.