Which statement best describes how the graph of g(x)=−5x^2 compares to the graph off(x)=x^2? question 11 options:
a)the graph of g(x) is a vertical stretch of f(x) by a factor of 5.
b) the graph of g(x) is a reflection of f(x) across the x-axis.
c)the graph of g(x) is a vertical compression of f(x) by a factor of 15 and reflection across the x-axis.
d) the graph of g(x) is a vertical stretch of f(x) by a factor of 5 and a reflection across the x-axis.

D) The graph of g(x) is a vertical stretch of f(x) by a factor of 5 and a reflection across the x-axis

Step-by-step explanation:

The functions is called the base function for the vertical parabola.

If this function is reflected across the x-axis, the parent function is negated to get the transformed function, which is

If the resulting function is stretched vertically by a factor of 5, we multiply it by 5 to get;

The correct choice is D.

answer:

c. the third graph

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier