Which quadratic function in vertex form can be represented by the graph that has a vertex (3, 7) and passes through the point (1, 10)?
Vertex form is y = a(x  h)² + k
(h,k) are the coordinates of the vertex Substitute the vertex, (3,7) in for h and k, and substitute the point (1, 10) in for x and y into vertex form, to get a. y = a(x  h)² + k {vertex form} 10 = a(1  3)²  7 {substituted the vertex and point into vertex form} 10 = a(2)²  7 {worked inside parentheses} 10 = 4a  7 {squared the 2} 3 = 4a {added 7 to each side} a = 3/4 {divided each side by 4} In vertex form, substitute 3/4 for a, 3 for h, and 7 for k. y = (3/4)(x  3)²  7 Ask the House
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