Question

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. y=a(x-h)^2+k

vertex:(4,-1) point:(2,3)

Answer 1

y = ( x − 2 ) ^ 2 + 3

y = x^2 − 4x + 7

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (4,-1)

h=4, k=-1

y = a ( x − 4 ) ^ 2 - 1

sub ( 2,3 )

3 = a (2 - 4)^2 - 1

a=1

y = 1 ( x − 2 ) ^ 2 + 3

y = ( x^2 − 4x + 4 ) + 3

y = x^2 − 4x + 7