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hichkok12 [17]
1 year ago
7

PLEASE HELP ME URGENT PLEASE

Mathematics
1 answer:
cupoosta [38]1 year ago
5 0

Answer:

Step-by-step explanation:

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
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PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

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y  + 2 = a {(x - 1)}^{2}

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y  + 2 = 2 {(x - 1)}^{2}


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To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
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a=1,b=-4,c=0

This is the standard form
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