Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

y = -2*0.5ˣ

Step-by-step explanation:

general formula for exponential function: y = abˣ

for point (0 , -2): -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4): -4 = (-2) * b⁻¹ b⁻¹ = (-4) / (-2) = 2

b = 1/2

exponential function: y = -2*0.5ˣ

You might be interested in

Rectangle PQRS is rotated 90 counterclockwise about the origin what are the coordinates of point Q

inna [77]

You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.

When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)

Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)

point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)

point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)

Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Is 40 a multiple or a factor

gladu [14]

Hey there!
It can be both. It's a multiple of 8 because 8 times 5 is 40, but it's also a factor of 120 because 80 times 3 is 120.
Hope this helps!

5 0

3 years ago

Help....................

Romashka-Z-Leto [24]

Answer:

The interquartile range is 50.

Step-by-step explanation:

To find our answer we have to first quartile 1 and quartile 3 are equal too. When we look at the plot quartile 1 is equal to 20, quartile 3 is equal to 70 because it is in between 60 and 80. Now to find the interquartile range we will subtract 70 from 20 and we get 50. Therefore, 50 is our answer.