Answer: First option
Step-by-step explanation:
By definition, the horizontal shift depends on the value of <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>
indicates that the function if shifted to the right <em>h </em> units.
indicates that the function if shifted to the left <em>h </em> units.
indicates that the function if shifted down <em>k </em> units.
indicates that the function if shifted up <em>k </em> units.
Then:
If <em>h </em>is positive, the graph will shift to the right.
If <em>k </em>is negative, the graph will shift down.
As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

Where:

Answer: 0.072
Explanation: There are 3 zeros in 1000, so there must be 3 decimal digits.
Answer:
y=-1/4x
Step-by-step explanation:
METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.
METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)
Hey there!
a = 5 ; b = 2
Option A.
a + b
= 5 + 2
= 7
Option B.
a - b
= 5 - 2
= 3
Option C.
2a + 3b
= 2(5) + 3(2)
= 10 + 6
= 16
Option D.
5a - b
= 5(5) - 2
= 25 - 2
= 23
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)