Question

question 4 4-1 homework describe the transformation. use decimals, if necessary. reflection in the line x =

Explanation:

Step1: Recall reflection property

For a reflection of a point $(x,y)$ across the line $x = a$, the formula is $(2a - x,y)$. Observe the corresponding points of the pre - image and image. Let's take a point on the pre - image, say point $D(0, - 2)$ and its image $D'(- 2,-2)$.

Step2: Calculate the line of reflection

Using the formula for reflection across $x=a$, for point $D(0, - 2)$ and $D'(-2,-2)$, we have $2a-0=-2$. Solving for $a$ gives $2a=-2$, so $a = - 1$.

Answer:

$-1$