Question

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

Answer 1

See below

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.