Question

determine the translation. use non-negative numbers. a translation by \boxed{} units to the \text{right/left} and \boxed{} units \text{up/down}

Explanation:

Step1: Find coordinates of A and A'

Let's take point A (blue) and A' (red). From the graph, A is at (3, -4) and A' is at (-4, 1).

Step2: Calculate horizontal translation

Horizontal change: \( -4 - 3 = -7 \). Since we use non - negative numbers and the sign indicates direction, moving from A to A', the horizontal translation is 7 units to the left (because the x - coordinate decreased by 7).

Step3: Calculate vertical translation

Vertical change: \( 1-(-4)=5 \). So the vertical translation is 5 units up.

Answer:

A translation by 7 units to the left and 5 units up.