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Natasha2012 [34]
3 years ago
11

How do you find the axis of symmetry without graphing in intercept form?

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0
The axis of symmetry will be the vertical line given the equation x = h, where h is the x coordinate of the vertex.  This value can be taken directly from an equation in vertex form: y=a(x-h)^2+k

For example, given the equation y = -2(x+4)^2-8 the vertex is (-4, -8) so the a.o.s equation is x = -4
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Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the
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Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height

Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7

9 years after it was planted: 16 feet
so x= 9 y=16

With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
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( I know it doesnt make sense , but if you apply to a graph it will make more sense )


Now we can make the equation
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