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Aleonysh [2.5K]
3 years ago
15

Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.

Mathematics
2 answers:
Ulleksa [173]3 years ago
5 0

Answer:

y=2^x - 5

Step-by-step explanation:

"- 5" demonstrates a verical shift 5 units down

Ksju [112]3 years ago
5 0
Answer: y=2^x +5
explanation: vertical shifts are outside changes that impact the y value
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Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

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y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

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6y=x-23

x-23=6y

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