Question

The graphs of functions f(x) and g(x) = f(x) + k are shown below:

Answer 1

The value of k is ___.

Numerical Answers Expected!

Answer 2

g(x) is f(x) but has been vertically shifted.
Measure from the left side of the line.
The old line started where?
The new line now starts where?

Answer 3

would it be -2

Answer 4

You have the correct value, but wrong `sign`.
The k forced g(x) to move `upward`.
So we want a positive 2.

Answer 5

Thank you I have one more can you help

Answer 6

sure

Answer 7

Choose the equation below that represents the line passing through the point (-5, 1) with a slope of three halves.

y - 5 = three halves(x + 1)

y + 1 = three halves(x - 5)

y + 5 = three halves(x - 1)

y - 1 = three halves(x + 5)

Answer 8

The point-slope form of a line is:
\(\Large\rm y-y_o=m(x-x_o)\)

Where \(\Large\rm (x_o,y_o)\) is the given point.
and \(\Large\rm m\) is the slope.

Answer 9

So just plug those values in! :)

Answer 10

would it be the 4th answer

Answer 11

Yes, good job!

Answer 12

I need help with one more before I go, can you help.

Answer 13

class starting soon, i might have to go, but ya i can try to help.

Answer 14

The graph below plots a function f(x):

Answer 15

If x represent time, the average rate of change of the function f(x) in the first three seconds is ___.

Numerical Answers Expected!

Answer 16

slope m =3/2
point (-5,11)
(y-1)=(3/2)(x+5)
option 4 is correct

Answer 17

I think the answer is 80

Answer 18

So at 3 seconds, the y-value is 220.
At 0 seconds, the y-value is 100.

If we write these as ordered pairs,
\(\Large\rm (0,100)\), \(\Large\rm \qquad (3,220)\)

We can use the slope formula to find the rate of change,
\(\Large\rm m=\dfrac{y_2-y_1}{x_2-x_1}\)

Answer 19

80? Hmm, I'm coming up with something smaller.

Answer 20

what about 60

Answer 21

Now it feels like you're just guessing -_-
Plug in the numbers, calculate the slope :3

Answer 22

\(\Large\rm m=\dfrac{220-100}{3-0}\)

Answer 23

I divide by 3

Answer 24

120/3 = 40 i think, yes.....?

Answer 25

Thank You