Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
ANSWER

Or

EXPLANATION
The given polynomial is

where a=1,b=k, c=30
Let the zeroes of this polynomial be m and n.
Then the sum of roots is

and the product of roots is

The square difference of the zeroes is given by the expression.

From the question, this difference is 169.
This implies that:





We substitute the values of k into the equation and solve for x.


The zeroes are given by;


The tallest building in my area is the reunion tower which is 562 ft and the difference is 1106