Question

The graph of function g(2) is a reflection of the graph of function f(x) = 1 + 9 across the y-axis. What is the equation that describes function g?

A) g(x) = -x - 9
B) g(x) = -x + 9
C) g(x) = x - 9
D) g(x) = -92 + 9

Answer 1

The equation that describes function g(x) is g(x) = -x - 9.

Step-by-step explanation:

The graph of function g(x) is a reflection of the graph of function f(x) = 1 + 9 across the y-axis.

When a graph is reflected across the y-axis, the x-values stay the same, but the y-values get negated.

Since the equation for f(x) is 1 + 9, the equation for g(x) will have the same x-values but with negated y-values.

Therefore, the equation that describes function g is g(x) = -1 - 9, which simplifies to g(x) = -x - 9.

Therefore, the correct answer is A) g(x) = -x - 9.