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?
A). The graph of f(x) = x2 is widened.
B). The graph of f(x) = x2 is shifted left 3 units.
C). The graph of f(x) = x2 is shifted up 30 units.
D). The graph of f(x) = x2 is reflected over the x-axis.
PLZ Answer
Answers
Given:
The graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30
To find:
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?
Solution:
From given, we have,
f(x) = x^2
g(x) = 4x^2 + 24x + 30
The given g(x) is in form: a(x-h) + k,
we have, g(x) = 4x^2 + 24x + 30
⇒ g(x) = 4 (x+3)^2 - 6
Comparing this equation with the given equation, f(x) = x^2, we have the following transformations:
The graph is widened and even the graph is shifted left 3 units.
A). The graph of f(x) = x2 is widened.
B). The graph of f(x) = x2 is shifted left 3 units.
Therefore, from given options, options A and B are both correct.
Answer:
The graph of f(x) = x2 is shifted left 3 units.
Step-by-step explanation: