Question

What transformations change the graph of f(x) to the graph of g(x)? f(x) = 3x2 g(x) = 9x2 - 4

Question 2 options:

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/3 and translated up 4 units.

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/3 and translated down 4 units

. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 3 and translated up 4 units.

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 3 and translated down 4 units.

Answer 1

D.

Explanation:

The coefficient of the leading term tells you how "stretchy" a graph is. Since g(x)'s leading coefficient is 3, and f(x)'s leading coefficient is 9, and they're both
`x^(2)`, g is just 3 times f. Then g's constant term is -4, and f's constant term is 0, then g is just f but translated 4 down.

Answer 2

Option 4

Explanation:

The 3 changing to the 9 stretches the graph vertically by a factor of 3. The - 4

translates the graph 4 units down .

Its Option 4