The set of parametric equation that represents the function y = x² + 4x - 5 is x = t + 1, y = t² + 6t . (Option E).
How to calculate the parametric equations?
The set of parametric equations that represents the function y = x² + 4x - 5 is calculated as follows;
y = x² + 4x - 5
y = x² - x + 5x - 5
y = x(x - 1) + 5(x - 1)
y = (x - 1)(x + 5)
t = x - 1
x = t + 1
The corresponding value of y becomes;
y = x² + 4x - 5
y = (t + 1)² + 4 (t + 1) - 5
y = t² + 2t + 1 + 4t + 4 - 5
y = t² + 6t
Thus, the set of parametric equation that represents the function y = x² + 4x - 5 is x = t + 1, y = t² + 6t .