I need to graph y=2f(x+2)-3 and then graph f(-x)
Where do I start?
To begin, let's break down the steps for graphing each function:
1. Graphing y = 2f(x + 2) - 3:
- Start by graphing the parent function f(x).
- Shift the graph of f(x) two units to the left by subtracting 2 from x, resulting in f(x + 2).
- Multiply the y-values of f(x + 2) by 2 to vertically stretch or compress the graph.
- Shift the graph vertically downward by subtracting 3 units from each y-value.
2. Graphing f(-x):
- Take the graph of f(x) from step 1.
- Reflect the graph across the y-axis by changing x to -x.
Now, let's proceed with graphing each function step by step.