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Given that the quadratic equation is
We need to determine the y - value of the vertex.
<u>The x - value of the vertex:</u>
The x - value of the vertex can be determined using the formula,
where
Substituting these values, we get;
Simplifying the terms, we get;
Thus, the x - value of the vertex is -5.
<u>The y - value of the vertex:</u>
The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation
Thus, we get;
Simplifying the values, we have;
Thus, the y - value of the vertex is 49.
Part 1: 
Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>
Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>