The parent function is a basic function in a certain family of functions, such as the linear function y = x or the quadratic function y = x^2. The equation y = -3f(x) + 5 represents a transformation of the parent function f(x) that involves multiplying the function by -3 and adding 5 to the result.
Specifically, the transformation from the parent function to y = -3f(x) + 5 involves the following changes:
1. Multiplying the output (y-value) of the parent function by -3, which will reflect the graph of the function over the x-axis and stretch or compress the graph vertically depending on the magnitude of the coefficient (-3 in this case).
2. Adding 5 to the result of the multiplication, which will shift the graph of the function vertically by 5 units.
In summary, the equation y = -3f(x) + 5 transforms the parent function f(x) by vertically stretching or compressing it by a factor of 3, reflecting it over the x-axis, and shifting it vertically by 5 units.
explain the equation transformations from the parent function to y=-3f(x)+5
1 answer
1 answer