Answer:
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up
Step-by-step explanation:
Recall,
If f(x) is a parent function:
• Horizontal shift: If h is the horizontal shift then f(x+h)) represents a graph which is formed when the parent graph is transformed to left (when h>0) or to right (when h<0))
• Vertical shift: If h is the vertical shift then f(x)+h represents a graph which is formed when the parent graph is transformed to up(when h>0) or to down (when h<0).
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph transformed 8 units to the right, and transformed 4 units up.
Divide the first equation by 2 and add the result to the second equation. This will eliminate x.
... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)
... 3y = -18 . . . . . collect terms
... y = -6 . . . . . . . divide by 3
Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.
... 2x +4(-6) = -12
... 2x = 12 . . . . . . . . add 24
... x = 6 . . . . . . . . . . divide by 2
The solution is (x, y) = (6, -6).
<h3>
Answer: B) vertical line</h3>
A vertical line has all points with the same x coordinate, but infinitely many different y coordinates. It inherently fails the vertical line test because we can pass a single straight line through more than one point on the function curve.
Put another way, the input is a single value but there's infinitely many outputs. A function must have each input produce exactly one output. This is of course only when the input is in the domain.
A
there you gooo
have a nice day
Answer: 14.21 m .
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Explanation:
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1.45 s * (9.8 m / s) = (1.45) *(9.8 m) = 14.21 m .
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Note: "(9.8 m/s)" represents the value of the force of gravity on earth.
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