Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$
-$$f ( x ) = 5 x ^ { 2 }$$
A) a translation 5 units up
B) a horizontal stretch by a factor of 5
C) a vertical stretch by a factor of 5
D) a translation 5 units to the right

Question

Quizplus · Accepted Answer

The graph of $f(x) = 5x^2$ is a vertical stretch by a factor of 5 of the graph of $y = x^2$, not a translation or a horizontal stretch. This is because the coefficient 5 affects the y-values, making them 5 times larger than in the original graph for any given x-value.

Describe How the Graph of the Equation Relates to the Graph