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uysha [10]
3 years ago
14

What is the equation of the quadratic graph with a focus of (1,1) and a directrix of y=-1

Mathematics
1 answer:
Kruka [31]3 years ago
7 0
Ok the vertex is the midpoint of the line between the focus and directrix so it is (1, 0) and the constant before is equal to 1/4 I believe so the equation should be y= 1/4 * (x-1)^2
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RS=2x-8, ST = 11, RT = x+10
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Answer:

Equation~=~\Large\boxed{2x+3=x+10}

x~=~\Large\boxed{7}

RS~=~\Large\boxed{6}

RT~=~\Large\boxed{17}

Step-by-step explanation:

<u>Given information</u>

RS=2x-8

ST=11

RT=x+10

<u>Derived expression from the given information</u>

<em>Presumably, I think this is a combination of segments</em>

RS+ST=RT

<u>Substitute values into the given expression</u>

(2x-8)+(11)=(x+10)

<u>Combine like terms</u>

<em>The following is the expression</em>

\Large\boxed{2x+3=x+10}

<u>Subtract 3 on both sides</u>

2x+3-3=x+10-3

2x=x+7

<u>Subtract x on both sides</u>

2x-x=x+7-x

\Large\boxed{x=7}

<u>Substitute the x value into corresponding expressions to determine the final value</u>

RS=2x-8=2(7)-8=14-8=\Large\boxed{6}

RT=x+10=(7)+10=\Large\boxed{17}

Hope this helps!! :)

Please let me know if you have any questions

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