(x−5)</span>2</span>−33</span><span><span><span>(x-5)</span>2</span>-33</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=<span><span>(x−5)</span>2</span>−33</span><span>y=<span><span>(x-5)</span>2</span>-33</span></span>Since <span><span>−5</span><span>-5</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>55</span> to both sides.<span><span>x=5</span><span>x=5</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=1</span><span>a=1</span></span><span><span>h=5</span><span>h=5</span></span><span><span>k=−33</span><span>k=-33</span></span>Since the value of <span>aa</span> is positive, the parabola opens up.Opens UpFind the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(5,−33)</span><span>(5,-33)</span></span>Find <span>pp</span>, the distance from the vertex to the focus.Tap for more steps...<span><span>14</span><span>14</span></span>Find the focus.Tap for more steps...<span><span>(5,−<span>1314</span>)</span><span>(5,-<span>1314</span>)</span></span>Find the axis of symmetry by finding the line that passes through the vertex and the focus.<span>x=5</span>
