Question 1 of 10
How would you describe the difference between the graphs of
and ?
A. is a reflection of over the -axis.
B. is a reflection of over the line .
C. is a reflection of over the x-axis.
D. is a reflection of over the line .

Ask by Wood Ball. in the United States

Nov 07,2024

Question

Question 1 of 10
How would you describe the difference between the graphs of
and ?
A. is a reflection of over the -axis.
B. is a reflection of over the line .
C. is a reflection of over the x-axis.
D. is a reflection of over the line .

Ask by Wood Ball. in the United States

Nov 07,2024

UpStudy AI · Accepted Answer

To analyze the functions $$ f(x) = 2x^2 $$ and $$ g(x) = -2x^2 $$, we can observe their characteristics:

1. The function $$ f(x) = 2x^2 $$ is a parabola that opens upwards, with its vertex at the origin (0,0).
2. The function $$ g(x) = -2x^2 $$ is a parabola that opens downwards, also with its vertex at the origin (0,0).

The key difference between these two functions is that $$ g(x) $$ has a negative coefficient, which means it is a reflection of $$ f(x) $$ across the x-axis.

Thus, the correct answer is:

C. $$ g(x) $$ is a reflection of $$ f(x) $$ over the x-axis.
C. $$ g(x) $$ is a reflection of $$ f(x) $$ over the x-axis.

Question 1 of 10
How would you describe the difference between the graphs of
and ?
A. is a reflection of over the -axis.
B. is a reflection of over the line .
C. is a reflection of over the x-axis.
D. is a reflection of over the line .

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Pre Calculus Questions

Question 1 of 10 How would you describe the difference between the graphs of and ? A. is a reflection of over the -axis. B. is a reflection of over the line . C. is a reflection of over the x-axis. D. is a reflection of over the line .

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Pre Calculus Questions

Question 1 of 10
How would you describe the difference between the graphs of
and ?
A. is a reflection of over the -axis.
B. is a reflection of over the line .
C. is a reflection of over the x-axis.
D. is a reflection of over the line .