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Olegator [25]
3 years ago
14

Given that (6,-8) is on graph f(x), find the corresponding point for the function f(-1/2x)

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0
Set the argument -1/2x equal to the x coordinate of the given point 6. Solve for x

-1/2x = 6
x = 6(-2)
x = -12

So x = -12 makes the equation -1/2x = 6 true. 

If we plug x = -12 into f(-1/2x) we get f(6)

Since we know that (6,-8) is on the graph of f(x), we know that (-12,-8) is on the graph of f(-1/2x)

What happens is that there's a reflection over the y axis (due to the minus sign in -1/2x) and there's a horizontal stretch by a factor of 2. So the graph of f(-1/2x) appears to be wider than f(x).

In summary, the final answer is (-12,-8)
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Answer:

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Step-by-step explanation:

so first we look for the slope which is rise/run.

start with the lower point and count up two.

the count to the left and you have -2/4, thats your slope.

then you chose one point, like (1,-5)

so either using point slope form y-y1=m(x-x1) or standard form y+mx+b

im going to use standard form

plug in your points like so:

y= -2/4x +b

-5= -2/4(1) +b

-5 = -1/2 + b

-5+ 1/2 = b

-4 1/2 =b

so y should equal

y=-2/4x + (-4.5)

im not sure but i hope this helps a bit

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Answer:

x ≥ 1  (how to graph is listed below)

Step-by-step explanation:

To find where we need to plot the line, we first need to solve the inequality for x:

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(Add three to both sides)

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(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)

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To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign.     ex. ≥, ≤)

Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)

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sammy [17]

Answer:

The correct option is;

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The inequality representing the first line is y ≥ -1

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