The function f(x) = x2 is transformed to f(x) = 4(x − 2)2. Which statement describes the effect(s) of the transformation on the graph of the original function?
A) The parabola is narrower and shifted 2 units to the right.
B) The parabola is narrower and shifted 2 units to the left.
C) The parabola is wider and shifted 2 units to the right.
D) The parabola is wider and shifted 2 units to the left.
Answers
Answered by
4
Answer:
C) The parabola is wider and shifted 2 units to the right.
Answered by
1
Answer:
B) The parabola is narrower and shifted 2 units to the right.
Step-by-step explanation:
Let's do process of elimination.
First, let's deal with the 4.
Setting the coefficient of the main term to 4 would make the parabola narrower, because it is being stretched on the y-axis. All of the y-values are being multiplied by 4 and are therefore going to be stretched up-to-down, which makes the parabola look narrower.
Now, the (x - 2)^2.
The parent function, (f(x) = x^2), can also be written as f(x) = (x - 0)^2. Now, we can see how the original function shifts 0 units, and that the new function shifts 2 units (to the right).
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