Answer:
Step-by-step explanation:
The given function is
If a function translated vertically upward by p units, then we need to add p in the function value to get the new function.
It is given that if the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g. So,
On simplification, we get
Therefore, the required function is .
Answer:
The equation of the line passing through the point (1,-4) and making an angle of 135º will be:
Step-by-step explanation:
Given the point (1, -4)
Given that the line makes an angle of 135º.
so
Slope = m = tan 135º = -1
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -1 and the point (1,-4)
subtract 4 from both sides
simplify
Therefore, the equation of the line passing through the point (1,-4) and making an angle of 135º will be:
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The value of the function at x=-1 can be found by substituting that value for x and doing the arithmetic.
f(-1) = 1/3(-1)³ -(-1)
f(-1) = -1/3 +1 = 2/3
The relative maximum value is 2/3.