If you transform y = 2x 2 into y = 10x 2, which option below describes the effect of this transformation on the graph of the quadratic function along the y-axis?

the complete question in the attached figure

y1=2x²

y2=10x²----------------- > y2=5*y1

using a graphic tool-------------------- > see the attached figure

the answer is the option A). The transformation stretches the graph by a factor of 5

The given transformation stretches the graph by a factor of 5.

Step-by-step explanation:

We have been given that the graph of is transformed into . We are asked to find the effect of this transformation on the graph of the quadratic function along the y-axis.

Let us recall transformation rules for scaling:      

When , the transformation stretches the graph along the y-axis by a factor of a.

When , the transformation compresses the graph along the y-axis by a factor of a.

When , the function compressed along the x-axis by a factor of a.

When , the function stretched along the x-axis by a factor of a.

Upon looking at our given transformation, we can see that the function is stretched along the y-axis by a factor of 5 as 10 is 5 times 2.

Therefore, our given function is stretched along the y-axis by a factor of 5.