Answer:
Use google
Step-by-step explanation:
A) k=2 is the right answer
Step-by-step explanation:
The downward funtion transformation is defined as:
f(x) => f(x)-b where b is an integer.
Given
And
It is also given that g(x) is obtained by shifting function f 2 units downward
We will apply the transformation to function f to find the value of k.
So,
Shifting f(x) 2 units downward
we will get
comparing with we get that
k = 2
So,
A) k=2 is the right answer
Keywords: Functions, shifting
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Answer:
y + 3 = (6)(x - 6)
Step-by-step explanation:
The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.
Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6. That is +6.
Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:
y + 3 = (6)(x - 6)
Y=-3x-4
Work:
Slope- -3
y-5=-3(x+3)
y-5=-3x-9
y=-3x-4
The value of x in the expression is 3.
The distance between Madison's house and Jamie's house is 13 units
<h3>How to find the distance between Madison house and Jamie's house?</h3>
Madison lives between Ana and Jamie as depicted on the line segment.
The distance between Ana's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Ana's house and Jamie's house is represented by 9x-3 miles.
Therefore,
(3x + 2) + (3x + 4) = 9x - 3
open the brackets
3x + 2 + 3x + 4 = 9x - 3
combine like terms
3x + 3x + 2 + 4 = 9x - 3
6x + 6 = 9x - 3
6x - 9x = -3 - 6
-3x = - 9
divide both sides by -3
x = -9 / -3
x = 3
Therefore, the value of x in the expression is 3
distance between Madison's house and Jamie's house = 3(3) + 4 = 9 + 4 = 13
learn more on distance here:brainly.com/question/24432432
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