Answer: reflection across the x-axis
vertical shrink by a factor of 1/2
horizontal shrink by a factor of 1/3
vertical shift up 4 units
<u>Step-by-step explanation:</u>
![\text{Note:}\ g(x) = -Ae^{Bx-C}+D\\\bullet \quad \text{- represents a reflection across the x-axis}\\\\\bullet \quad \text{A represent a vertical stretch by a factor of A (shrink if}\ |A| < 1)\\\\\bullet \quad \text{B represents a horizontal stretch by a factor of}\ \dfrac{1}{B}\ (\text{shrink if}\ |B| >1) \\\\\bullet \quad \text{C represents a horizontal shift of C units}\ (\text{+ is right, - is left}) \\\\\bullet \quad \text{D represents a vertical shift of D units}\ (\text{+ is up, - is down})](https://tex.z-dn.net/?f=%5Ctext%7BNote%3A%7D%5C%20g%28x%29%20%3D%20-Ae%5E%7BBx-C%7D%2BD%5C%5C%5Cbullet%20%5Cquad%20%5Ctext%7B-%20represents%20a%20reflection%20across%20the%20x-axis%7D%5C%5C%5C%5C%5Cbullet%20%5Cquad%20%5Ctext%7BA%20represent%20a%20vertical%20stretch%20by%20a%20factor%20of%20A%20%28shrink%20if%7D%5C%20%7CA%7C%20%3C%201%29%5C%5C%5C%5C%5Cbullet%20%5Cquad%20%5Ctext%7BB%20represents%20a%20horizontal%20stretch%20by%20a%20factor%20of%7D%5C%20%5Cdfrac%7B1%7D%7BB%7D%5C%20%28%5Ctext%7Bshrink%20if%7D%5C%20%7CB%7C%20%3E1%29%20%20%5C%5C%5C%5C%5Cbullet%20%5Cquad%20%5Ctext%7BC%20represents%20a%20horizontal%20shift%20of%20C%20units%7D%5C%20%28%5Ctext%7B%2B%20is%20right%2C%20-%20is%20left%7D%29%20%5C%5C%5C%5C%5Cbullet%20%5Cquad%20%5Ctext%7BD%20represents%20a%20vertical%20shift%20of%20D%20units%7D%5C%20%28%5Ctext%7B%2B%20is%20up%2C%20-%20is%20down%7D%29)
![\text{Parent function:}\ f(x)=e^x\\\text{Transformed function:}\ g(x)=-\dfrac{1}{2}e^{3x}+4\\](https://tex.z-dn.net/?f=%5Ctext%7BParent%20function%3A%7D%5C%20f%28x%29%3De%5Ex%5C%5C%5Ctext%7BTransformed%20function%3A%7D%5C%20g%28x%29%3D-%5Cdfrac%7B1%7D%7B2%7De%5E%7B3x%7D%2B4%5C%5C)
The transformed function has the following:
Negative: reflection across the x-axis
A = 1/2 vertical shrink by a factor of 1/2
B = 3 horizontal shrink by a factor of 1/3
C = 0 no horizontal shift
D = 4 vertical shift of 4 units up
Answer:
3x-24
Step-by-step explanation:
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Answer:
90km² only if it is parallelogram
Step-by-step explanation:
base = 9km
height=10km
area of parallelogram = b x h
=9km x 10km
=90km²
Answer:
81
Step-by-step explanation: A square has all sides the same so you just multiply 9×9
Have a great day and a awsome thanks giveing brake :)
Answer:
1. All coplanar points equidistant from a given point:
CIRCLE
2. piece of a line with one endpoint:
RAY
3. two rays with a common endpoint:
ANGLE
4. Piece of a line with two endpoints:
LINE SEGMENT
Step-by-step explanation: