Describe the transformations of the function. 1. f(x)=4(x-3)^2+19 2. f(x)=(-2)/(3)x^2-25 __ __

## Step 1: Analyze the first function### The function can be analyzed by comparing it to the basic quadratic function . The term inside the square indicates a horizontal shift to the right by 3 units. The factor 4 outside the square represents a vertical stretch by a factor of 4. Finally, the term +19 indicates a vertical shift upwards by 19 units.## Step 2: Analyze the second function### The function can be analyzed by comparing it to the basic quadratic function . The factor represents a vertical compression by a factor of and a reflection across the x-axis due to the negative sign. The term -25 indicates a vertical shift downwards by 25 units.