Question

interpret the key features of the graph. what type of transformation occurred from the parent function

f(x)=4x^2
(-2,16) (-1,4) (0,0) (1,4) (2,16)

this is a vertical stretch of the parent function y=x^2 due to the changes in the x intercept.

this is a vertical stretch of the parent function y=x^2 due to changes in the x-coordinates of each point.

this is a vertical stretch of the parent function y=x^2 due to changes in the y-coordinates of each point.

this is a vertical stretch of the parent function y=x^2 due to changes in the y-intercept.

Answer 1

The key features of the graph are that it is a parabola opening upwards with its vertex at the origin. The points on the graph are (-2, 16), (-1, 4), (0, 0), (1, 4), and (2, 16).

The transformation that occurred from the parent function f(x) = 4x^2 is a vertical stretch by a factor of 4. This is evident from the fact that the y-coordinates of each point on the graph have been multiplied by 4 compared to the parent function.