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kuadirkennedy
31.12.2020 •
Mathematics
A function, f(x) = x, is vertically translated 4 units up and then reflected across the y-axis. What's the new function in terms of g(x)?
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Ответ:
The new function is g(x) = -x + 4
Step-by-step explanation:
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)∵ A function f(x) = x
∵ It is vertically translated 4 units up
→ By using the 1st rule above, the value of k = 4
∴ k = 4
∵ Its image h(x) = f(x) + k
∴ Its image h(x) = f(x) + 4
∴ Its image h(x) = x + 4
∵ Then it is reflected across the y-axis
→ By using the 2nd rule above, change the sign of x in h(x)
∵ h(x) = x + 4
∴ g(x) = h(-x)
∴ g(x) = -x + 4
∴ The new function is g(x) = -x + 4
Ответ:
b=y intercept
the current one is y=-2
6 units up is -2+6=4
new one is 4