#34 02.01 Quadratic Functions

Mathematics
Tutor: None Selected Time limit: 1 Day

May 12th, 2015

Standard form of equation for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.

Using coordinates of given vertex at (2,3):

y=A(x-2)^2+3

Using coordinates of given point (0,2):

2=A(0-2)^2+3

2=A(-2)^2+3

2=4A+3

4A=-1

a=-1/4

Equation of parabola:

y=-1/4(x-2)^2+3

y=-1/4(x^2-4x+4)+3

y=(-1/4)x^2+x-1+3

y=(-1/4)x^2+x+2

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May 12th, 2015

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