SOMEONE PLEASE HELP me a-e, step by step instructions I do not understand
1 answer:
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Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
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.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
1. (x + 6)(x + -12)
2. (x + 10)(x - 10) = x² - 100
3. (x - 6)(x + 17) = x² + 11x - 102
4. (-x + 8)(x - 5) = -x² + 13x - 40
5. (x + 13)(x + 8) = x² + 21x + 104
6. (x + 2)(x + 7) = x² + 9x + 14
2. (x + 10)(x - 10) = x² - 100
3. (x - 6)(x + 17) = x² + 11x - 102
4. (-x + 8)(x - 5) = -x² + 13x - 40
5. (x + 13)(x + 8) = x² + 21x + 104
6. (x + 2)(x + 7) = x² + 9x + 14