The vertex of the graph of a quadratic function is (3,1) and the y intercept is (0,10) Which of the following is the equation of the function

Question

Mathematics

Miriam Frey

21 October, 21:08

The vertex of the graph of a quadratic function is (3,1) and the y intercept is (0,10) Which of the following is the equation of the function

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Answers (2)

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Lucian Scott · Answer 1

Formula f (x) = a (x-h) ^2+k (h, k) is vertex

Y=a (x-3) ^2+1

Plug in y intercept

10=a (0-3) 2+1

10=-3^2a+1

10=9a+1

9=9a

A=1

Y = (x-3) 2 + 1

Y=x2-6x+9+1

Y=x2-6x+10

Hope this is one of your answers

Aleena Durham · Answer 2

the quadratic function is : f (x) = a (x-3) ²+1 find a

the coefficient of the squared expression

but; f (0) = 10

10 = a (0-3) ²+1

9a+1=10

a=1

f (x) = (x-3) ²+1