Segment GH has endpoints (3, 4) and (4, 5). What series of transformations would result in G’H’ with endpoints (10, 12) and (13,
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Answer:
For the function, , stretches the graph by making the outputs matched to the inputs much larger than the parent function
. It stretches further by being multiplied by 4 after
. Lastly the graph is shifted down by 6 units.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative or changing the leading coefficient's sign will flip the graph.
For the function, , stretches the graph by making the outputs matched to the inputs much larger than the parent function
. It stretches further by being multiplied by 4 after
. Lastly the graph is shifted down by 6 units.
Simply find the area under the velocity curve. Over the first 3 second interval, the area is that of a trapezoid with bases 2 and 5, so that area/distance traveled is . For the last 4 seconds, the area/distance is
.
Then the total distance traveled is