Can someone help me please
2 answers:
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Answer:
Step-by-step explanation:
If the parabola is 72 m wide, then if we were to plot this parabola on a piece of (very large, lol) graph paper, we could plot one point at (72, 0) and the other one at (0, 0) since that would ensure that the arch is 72 m wide (72 - 0 = 72). The thing to remember now is that the vertex is exactly halfway between those 2 points with regards to the x-intercepts. In other words, if the width of the arch is 72 meters and the x values run from 0 to 72, then the x coordinate (or h, actually) of the vertex is 36 since 36 is halfway between 0 and 72 on the x-axis. Since the vertex goes up to 27 m, the k coordinate of the vertex is 27.
So here's what we have:
Coordinate points: (0, 0) and (72, 0)
Vertex: (36, 27)
We will use one of those coordinates along with the vertex in
and solve for a. Pro tip: since this is an upside down parabola, a better be negative when we solve for it!
Filling in x, y, h, and k:
and
and
and
so
which simplifies to
Writing the equation now looks like this:
Not sure what form you need that expressed in, but that's the vertex form so it should work, considering you were given a vertex to work with.
Answer:
<em>Answer is option </em><em>a</em><em>)</em><em> </em><em>4</em><em>:</em><em>5</em>
Step-by-step explanation:
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
Input is the same as the x-term and output is the same as the y-term.
For example, take a look at the image provided with thee table.
Looking at the first box of our table, notice that if we subtract 5 from 1, we get -4 and if we subtract 5 from 2 we get -3 and if we subtract 5 from 3, we get -2. Notice that in each case, we're subtracting 5 from the input to get the output.
I attached a table so you can practice if you'd like to. All you have to do is subtract 5 from each input and you will end up with the output. The first few are done for you. I also provided an answer key in the next image so you can check your work.
The last one might be a little trick. In the input, we have n which is a variable that represents any number. If we want to find the nth term, we simply subtract 5. So we have n - 5.
First image is practice if you'd like and the second is the key.
If you don't want to do it, no worries.
