Math, asked by arianaspencer77, 1 year ago

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 ItsCuteBoy
4

Answer:

C) The parabola is wider and shifted 2 units to the right.

Answered by peterhenryd
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).

Similar questions