Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, 7) and passes through the point (1, 10)?
f(x) = a(x  h)² + k is vertex form
(h,k) are the coordinates of the vertex Substitute (3,7)in for h and k, and substitute (1,10) in for x and y, in order to determine what a is. 10 = a(1  3)² + (7) {substituted vertex and x,y coordinates in} 10 = a(2)²  7 {subtracted in parentheses} 10 = 4a  7 {squared the 2} 3 = 4a {added 7 to each side} a = 3/4 {divided each side by 3} Substitute 3/4 back in for a, along with 3 for h, and 7 for k, into vertex form. f(x) = (3/4)(x  3)²  7 {substituted back into vertex form}
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