Reflecting across the y axis followed by rhe x atation 180 degrees clockwise
Rotation 180 counterclowise
Answer:
1) -15/32
2) 2/15
3) -203.5
4) -3/2 = -1.5
5) 10/3 = 3 1/3
Step-by-step explanation:
For 1, you just multiply the numerators and denominators together (3 by 5, 4 by 8) and then because it is negative, add the negative sign.
For 2, you multiply again, but because there are 2 negative signs, it becomes positive.
For 3, you divide 81.4 by 0.4, you could also divide 814 by 4.
For 4, you keep change flip, so the equation would become -9/4 (-2 1/4=-9/4) and 3/2 would become 2/3. The equation would be (-9/4 * 2/3). Then, you would get -18/12 which is -3/2.
For 5, you just multiply 4/3 by 5/2 which is 20/6 and because 2 negatives, it becomes positive.
Answer:
C. F(x) = 2(x-2)²+2
Step-by-step explanation:
This graph was changed by a vertical and horizontal shift because the graph moved over and up
- A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
- A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)
With this information we can determine how the graph was transformed
- Looking at the graph, the origin is now at (2,2) instead of (0,0)
- We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
- We can also see that the graph moved up k units, indicating a vertical shift 2 units upward
Our equation for f(x) should be in the form y = a(x + h)² + k
- Substituting in all our known values, we get the equation:
- F(x) = 2(x-2)²+2
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