Answer: left 7 units, up 4 units, and vertical compression
Step-by-step explanation:
Given
The function is
First shift it to the left by 7 units, so the function becomes
Now compress it to make it one-third
Now, sift the graph upward by 4 units
Thus , the conditions are left 7 units, up 4 units, and vertical compression.
Answer:
Step-by-step explanation:
50
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23
Answer:
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Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
If we know that , and , then the y-Intercept of the linear function is:
Line with a slope of that goes through the point (2, 1) is represented by .
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
Complementary angles add up to 90
so if A and B are complementary....and A = 40, then B = 90 - 40 = 50.
supplementary angles add up to 180
so if B and C are supplementary, and B = 50, then C = 180 - 50 = 130