Answer:
-(x - 1)^2 + 5
Step-by-step explanation:
f(x) = -(x - 1)^2 + 5
This is a form of an equation that gives you lots of information about the parabola (that's the name of the v-ish/u-ish curve shape on the graph)
y = a(x - h)^2 + k
The number in front of the parentheses tells you if the curve is stretched or smashed and if negative (like these) its flipped down so its opening downward.
The number inside the parenthesis added to or subtracted from the x, will tell you if the graph is translated (shifted or slid over) left or right. This left or right shift is kind of backwards from what you might think. An x - 1 means its shifted RIGHT. An
x + anumber will shift it left. Kind of backwards. But there are math reasons. Just memorize the backwardness of horizontal shifts.
The number added on to the end of the equation will translate (slide/shift) the parabola UP for " + anumber" and DOWN for "- anumber" It goes in the direction you would expect for vertical shifts.
The image in the question has been flipped, so start with a negative. Shifted right one, so (x - 1) and lastly, shifted up 5 so tack on a + 5 at the end.
<em>your answer to the question would be </em><u><em>18.9 ≈ 19ft</em></u>
To represent all the possible answers this would represent you would write the following inequality:
z < 34
This tells us that any number less than 34 is a possible solution. We call all of the answers that are possible a solution set.
Hi!
We need to know the distance in a straight line from point N to the line LM.
There are 3 lines connecting N to LM. Two of them are diagonal and do not show the straight direct path to LM. One of them is a straight line right to LM. The length of it is 6.8.
The answer is 6.8.
Hope this helps!
-Peredhel
