Question

What equation best represents the transformation of y = x^2

Horizontal shift left 3 and Vertical shift down 1

A. y = (x + 3)^ 2 - 1

B. y = (x + 1)^ 2 + 3

C. y = (x − 3)^ 2 - 1

D. y = (x − 1)^ 2 – 3​

Answer 1

A. y = (x + 3)^ 2 - 1

Explanation:

To represent the transformation of a horizontal shift left 3 and a vertical shift down 1 applied to the function y = x^2, you can use the following equation:

y = (x + 3)^2 - 1

In this equation, the term (x + 3) represents the horizontal shift left 3, and the term -1 represents the vertical shift down 1. The squared term remains the same as in the original function, y = x^2.