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Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
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Nov 15, 2018
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Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Mathematics
high-school
Metsburg
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Metsburg
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1. find equation
general solutions are:
for P(0,-11)
⇒
for p(1,-13)
and
solve for a and b:
the total equation is now:
To find the x-intercept set y=0 and solve for x
Mtkale
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Nov 18, 2018
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Mtkale
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Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex
using given coordinates of vertex:
y=A(x-1)^2-13
using given coordinates of y-intercept:
-11=A(0-1)^2-13
A=2
Equation of parabola: y=2(x-1)^2-13
x-intercepts
set y=0
0=2(x-1)^2-13
2(x-1)^2=13
(x-1)^2=13/2
x-1=±√(13/2)
x=1±√(13
Danielgatis
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Nov 20, 2018
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Danielgatis
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