Write the equation of the parabola in vertex form given the vertex (–2, 3) and point (0, 1).

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03-11-2022
Mathematics

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Write the equation of the parabola in vertex form given the vertex (–2, 3) and point (0, 1).

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GemaL716676 GemaL716676 · Answer 1 · 2022-11-03T14:24:03+01:00

GemaL716676 GemaL716676

03-11-2022

[tex]y=a(x-h)^2+k[/tex][tex]y=a(x-(-2))^2+3[/tex][tex]y=a(x+2)^2+3[/tex][tex]1=a(0+2)^2+3[/tex][tex]1=4a+3[/tex][tex]\frac{1-3}{4}=a[/tex][tex]-\frac{1}{2}=a[/tex]

the equation is

[tex]y=-\frac{1}{2}(x+2)^2+3[/tex]

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