How will a negative sign change the slope of the function?
Reflection in the y-axis and translation 6 units up.
Practice makes perfect
How does the equation of g(x) differ from f(x)? Let's see.
f(x)&=x
g(x)&= -x + 6
We can see that x was multiplied by -1, so f(x)=x was transformed to g_1(x)= - x. Thus, it was first reflected in the y-axis. Then, we can tell that 6 was added to - x. Therefore, g_1(x) was translated 6 units up. Let's see it on a graph!
We can conclude that the graph of the parent function was reflected in the y-axis and then translated 6 units up.
