193k views
1 vote
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x^2 + 24x + 30?

User Ntf
by
8.3k points

2 Answers

5 votes

Answer:

The graph is widened.

The graph is shifted left 3 units.

Explanation:

User Anurag Wagh
by
8.6k points
6 votes
It is easier to work with the form of equation after completing the square.

g(x)=4x^2+24x+30=4(x^2+6x+9)-6=4(x+3)^2-6
If the parent function is f(x)=x^2, then the transformations are
g(x)=a*f(x-h)+k
where
a=vertical stretching factor
h=horizontal shift
k=vertical shift
where, by comparison, a=4, h=-3, k=-6
Thus the transformations are
horizontal shift of -3 (i.e. to the left)
vertical scale factor of 4 (stretch)
vertical shift of -6 (down)
User David Haynes
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories