Question Put the quadratic into vertex form and state the coordinates of the vertex. y=x^2+14x+48 Answer Vertex Form: y=square Vertex (square ,square )

To convert the quadratic equation $y=x^{2}+14x+48$ into vertex form, we need to complete the square.<br /><br />Step 1: Group the terms with $x$ together.<br />$y=x^{2}+14x+48$<br /><br />Step 2: Complete the square by adding and subtracting $\left(\frac{14}{2}\right)^{2}=49$ inside the parentheses.<br />$y=(x^{2}+14x+49)-49+48$<br />$y=(x+7)^{2}-1$<br /><br />So, the vertex form of the quadratic equation is $y=(x+7)^{2}-1$.<br /><br />The coordinates of the vertex are $(-7,-1)$.