Question

Question 4 of 10 In the function y + 3 = (2x)2+1, what effect does the number 2 have on the graph, as compared to the graph of y=x"? 2 A. It shrinks the graph vertically to 1/2 the original height. B. It stretches the graph vertically by a factor of 2. C. It stretches the graph horizontally by a factor of 2. O OD. It shrinks the graph horizontally to 1/2 the original width

Answer 1

The parental function of the graph is,

`y+3=(x)^2+1`

The transformed function of the graph is,

`y+3=(2x)^2+1`

The transformation between the parent function and the transformed function will be resolved graphically.

From the graph above, the parent function is represented with red while the transformed image is represented with green colour.

We can conclude that the parent function was shrinked horizontally by 1/2.

Hence, it shrinks the graph horizontally to 1/2 the original width.

The correct option is Option