Write an equation for the line that contains the given point and that has the given slope m. (-8, -11) and slope undefined.
1 answer:
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Answer:
a) Function:Yes
b) Domain:
c) Range:
Step-by-step explanation:
The given graph passes vertical line test hence it is a function
The given function has x-intercepts at
We can therefore write this function in factored form as
There is a y-intercept at (0,-2)
The required function is
b) The domain refers to all values of x for which this function is defined.
The domain from the graph is because there are holes at the end of the graph.
c) The range is the value of y for which x is defined or the graph exists.
From the graph the range is
<h3>2 Answers: </h3><h3>Choice B) Shift down</h3><h3>Choice C) Shift right</h3>
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Explanation:
Start with the point (-2,-4). Let's try to move it to (2, -9)
To do so, we need to shift down and to the right (in either order).
Specifically we shift 4 units to the right to go from x=-2 to x=4
Note how x=-2 moves to x+4 = -2+4 = 2
Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below
y ---> y-5 = -4-5 = -9
So the translation rule is
Let's see what happens when we apply the translation rule to (2,4)
which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)
We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.