Question

1. after reflecting over the y - axis and then translating left by 3 units, whats a figures new position? reflected and shifted left reflected only shifted right shifted left

Explanation:

Step1: Understand reflection over y - axis

When a figure is reflected over the y - axis, the rule for a point \((x,y)\) is \((x,y)\to(-x,y)\).

Step2: Understand translation (shift)

When a figure is translated (shifted) left by \(a\) units, the rule for a point \((x,y)\) is \((x,y)\to(x - a,y)\). Here \(a = 3\).

Combining the two transformations: First, reflection over the y - axis \((x,y)\to(-x,y)\), then translation left by 3 units \((-x,y)\to(-x-3,y)\). So the figure is reflected and shifted left.

Answer:

Reflected and shifted left