Which is one of the transformations applied to the graph of f (x) = x2 to change it into the graph of g (x) = 4x2 + 24x + 30?

The graph of f (x) = x2 is widened.

The graph of f (x) = x2 is shifted left 3 units.

The graph of f (x) = x2 is shifted up 30 units.

The graph of f (x) = x2 is reflected over the x-axis.

Question

Mathematics

Krish Fox

28 June, 08:49

Which is one of the transformations applied to the graph of f (x) = x2 to change it into the graph of g (x) = 4x2 + 24x + 30?

The graph of f (x) = x2 is widened.

The graph of f (x) = x2 is shifted left 3 units.

The graph of f (x) = x2 is shifted up 30 units.

The graph of f (x) = x2 is reflected over the x-axis.

+2

Answers (1)

Know the Answer?

Winston Black · Answer 1

Changing g (x) to this form: a (x-h) + k, we have:

g (x) = 4 (x+3) ^2 - 6

Comparing this to the original equation, f (x) = x^2, we have the following transformations:

The graph is widened.

The graph is shifted left 3 units.