Question

math 8 section 2.2 homework reflections graph the image of the figure using the transform 1) reflection across the y - axis

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the $y -$axis is $(-x,y)$.

Step2: Identify vertices

Let's assume the vertices of the quadrilateral in the given graph are, for example, if one vertex is $(x_1,y_1)$, another is $(x_2,y_2)$ etc.

Step3: Apply reflection

For a vertex $(x_1,y_1)$, its image after reflection across the $y -$axis is $(-x_1,y_1)$. Do this for all vertices of the quadrilateral.

Step4: Plot new points

Plot the new - found vertices on the same coordinate grid and connect them to form the reflected figure.

Since we don't have the exact coordinates of the vertices from the blurry image: In general, if a point $P(x,y)$ is reflected across the $y -$axis, its image $P'$ has coordinates $(-x,y)$. Repeat this process for all points of the figure to graph the reflection.

Answer:

Graph the new figure by finding the reflection of each vertex of the original figure across the $y -$axis using the rule $(x,y)\to(-x,y)$ and then connecting the new vertices.