Find the x-intercepts of the parabola with vertex (2,13) and y-intercept (0,5). Write your answer in this form: (x1,y1),(x2,y2).
If necessary, round to the nearest hundredth.
1 answer:
The answer to the question is as follows:
<span>I would start by setting up an equation in vertex form.
y=a(x-2)^2 +13
To find a, sub in (0,5)
5=a(0-2)^2 +13
-8=4a
a=-2
y=-2(x-2)^2 +13
Set y equal to 0:
0=-2(x-2)^2 +13
-13=-2(x-2)^2
6.5 = (x-2)^2
+/- square root 6.5 = x-2
x= 4.549, -0.549
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I hope my answer has come to your help. God bless and have a nice day ahead!
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