Question

What steps transform the graph of y=x²y = x 2 to y=-(x+3)²+5y = − ( x + 3 ) 2 + 5

Answer 1

To transform the graph of y = x² to y = -(x+3)² + 5, follow these steps: 1. Shift the graph 3 units to the left. 2. Reflect the graph across the x-axis. 3. Shift the graph 5 units up.

Step-by-step explanation:

To transform the graph of y = x² to y = -(x+3)² + 5, follow these steps:

1. Take the original equation y = x² and shift it 3 units to the left by subtracting 3 from x: y = (x+3)²
2. Next, reflect the graph across the x-axis by multiplying the equation by -1: y = -(x+3)²
3. Finally, shift the graph 5 units up by adding 5 to the equation: y = -(x+3)² + 5

These steps will result in the transformed graph of y = -(x+3)² + 5.