What is the transformation that occurs to the equation y=2^x if it changes to y=2^x-3

1 answer:

4 0

The parent function is: y = 2^x and it it transformed to: y = 2^x - 3. Both are exponential functions. First we can find the value of y, when x = 0. For the 1st function: y = 2^0 = 1 For the 2nd function: y = 2^0 - 3 = 1 - 3 = - 2 We can conclude that the 2nd value of y is 3 units lower than the first. Answer: This transformation is translation 3 units down.

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emmasim [6.3K]

Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

4 0

2 years ago

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salantis [7]

9514 1404 393

Answer:

(b) (-5, 1)

(d) (9, -2)

Step-by-step explanation:

The coordinate differences between the given points are ...

(4, 2) -(0, -3) = (4, 5)

The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.

The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.

Two of the points could be ...

(4, 2) ± (5, -4) = (9, -2) or (-1, 6)

and the other two could be ...

(0, -3) ± (5, -4) = (5, -7) or (-5, 1)