write the function whose graph is the graph of y x but is shifted up 2 units and to the left by 3 units explain how you fo
Question
Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts.
79
likes
395 views
Answer to a math question Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts.
1. Start with the absolute value function: y = |x|
2. Shift the function left by 3 units: y = |x + 3|
3. Shift the function up by 2 units: y = |x + 3| + 2
4. The function after the shifts is: y = |x + 3| + 2
Frequently asked questions (FAQs)
What is the x-value when the cube root function, f(x) = ∛(x - 4), equals -2?
+
What is the relationship between the growth rates of the exponential functions f(x) = 10^x and g(x) = e^x?
+
What is the maximum value (in degrees) of the cosine function?