Answer:
g(x) = |x| -9
Step-by-step explanation:
In the form ...
g(x) = a|x -h| +k
the parameters are ...
- a: the vertical scale factor (1)
- h: the right shift of the vertex (0)
- k: the upward shift of the vertex (-9)
The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).
Then the translated function is ...
g(x) = |x| -9
Answer:
sorry i can't help bc it doesn't show the picture to the problem
Step-by-step explanation:
Y=-4x+6 x=1
y=-4(1)+6
y=-4+6
y=2
Hello there!
For this question, we can use slope-intercept form of a line. The following equation is the format for slope-intercept form:

In this equation, m is the slope and b is the y-intercept. The slope and y-intercept is given. Thus, we just "plug in" the given values into the equation to get our answer. Replace "m" with "3/2" and replace "b" with "-2". After doing so, you get the following equation for the line.

That should be your answer. Hope this helps! :)
~AgentCozmo4, Junior Moderator
Answer:
-0.5, 2, 4.5, 7, 9.5
Step-by-step explanation:
The given terms are 6 apart, so the common difference is 1/6 of their difference:
d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5
Add 2.5 to each term to get the next one. Then the sequence is ...
-3, <u>-0.5</u>, <u>2.0</u>, <u>4.5</u>, <u>7.0</u>, <u>9.5</u>, 12