The function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3
How to write a function g whose graph is a reflection in the x-axis of the graph of f?
The points on the function f are given as
(0,3) and (3,9)
Calculate the slope of f using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (9 - 3)/(3 - 0)
Evaluate
m = 2
A linear equation is represented as
y = mx + c
Where m = slope
i.e. m = 2
c = y-intercept
i.e. c = y, when x = 0
In (0,3), we have
c = 3
So, the equation is
y = 2x + 3
The reflection of the equation on the x-axis is
g(x) = -f(x)
So, we have
g(x) = -2x - 3
Hence, the function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3
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