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Explanation:</h2><h2>
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Here we have the following rational function:
So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:
Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:
Step 2. Shift the graph 2 units down:
Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded
Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded
ANSWER: The first coffee is a better buy at only $0.31 cents per ounce. The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps! :)
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:
<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:
. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:
and simplify to get
. In this process we have created a perfect square binomial on the left, which happens to be
. Now move the -6 back over by addition to get
. The vertex is found at (-2, 6), the third choice down.
Well if your finding the slope and y intercept
Slope is -4
Y-int is (0,9)
So you would make the. -4 into -4/1 the you would plot (0,9) on the graph first then on the Y line go down 4 and move to the right 1
( I’m not sure if this helps)
