Math

1. Which of the following tables of values is correct for the equation y equals negative 3 x squared?

2. Find the horizontal change and the vertical change for the translation

3. The point C(3, –1) is translated to the left 4 units and up 1 unit.

a. Write the rule for this translation.
b. What are the coordinates of the image point?

4. How many lines of symmetry does the figure below have? If there are no lines of symmetry, write none.

5. The vertices of ΔABC are A(2, –5), B(–3, 5), and C(3, –3). The triangle is reflected over the x-axis. Use arrow notation to describe the original triangle and its reflection.

6. The point C(x, y) is reflected over the x-axis. Write a translation rule to describe the original point and its reflection.

7. Triangle ABC is shown on the graph below.

Triangle ABC is shown on a graph. Vertex A is at the point left parenthesis 1 comma 3 right parenthesis. Vertex B is at the point left parenthesis 4 comma 5 right parenthesis. Vertex C is at the point left parenthesis 3 comma 1 right parenthesis. Triangle ABC is reflected over the y-axis. What are the coordinates of the reflected triangle?
Describe in words what happens to the x-coordinates and y-coordinates of the original triangle’s vertices as a result of this reflection.

8. Triangle ABC is shown on the graph below.

Triangle ABC is shown on a graph. Vertex A is at the point left parenthesis 1 comma 3 right parenthesis. Vertex B is at the point left parenthesis 4 comma 5 right parenthesis. Vertex C is at the point left parenthesis 3 comma 1 right parenthesis.Triangle ABC is translated 1 unit right and 2 units down. What are the coordinates of the translated triangle?
Use arrow notation to write a rule for this translation.

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