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Similar Question 1
<p>Express each equation in factored form and vertex form.</p><p><code class='latex inline'>y = 2x^2 -x - 6</code></p>
Similar Question 2
<p>Explain how to determine the vertex of <code class='latex inline'>y=x^2-2x-35</code> using three different strategies. Which strategy do you prefer? Explain your choice.</p>
Similar Question 3
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p><code class='latex inline'>y=x^2+12x+36</code></p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Write the relation in vertex form by completing the square.</p><p><code class='latex inline'>y=x^2+8x</code></p>
<p>Write the relation in vertex form by completing the square.</p><p><code class='latex inline'>y=x^2-12x-3</code></p>
<p>Determine the maximum or minimum value of each relation by completing the square.</p><p> <code class='latex inline'>y=2.8x^2-33.6x+3.1</code></p>
<p>Determine the maximum or minimum value of each relation by completing the square.</p><p><code class='latex inline'>y=-10x^2+20x-5</code></p>
<p>Express each equation in factored form and vertex form.</p><p><code class='latex inline'>y = 4x^2 + 20x + 25</code></p>
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p> <code class='latex inline'>y=-3x^2+12x-6</code></p>
<p> Complete the square to express each quadratic relation in the form <code class='latex inline'>y = a(x-h)^2 + k</code>. Then, give the coordinates of the vertex.</p><p><code class='latex inline'>\displaystyle y = x^2 + 4x + 1 </code></p>
<p>Find the solutions to the following equations(rearrange and factor)</p><p><code class='latex inline'>\displaystyle -x^2 - 3x + 1 = 0 </code></p>
<p>Determine the maximum or minimum value of each relation by completing the square.</p><p><code class='latex inline'>y=-4.9x^2-19.6x+0.5</code></p>
<p>Rewrite each relation in the form <code class='latex inline'>y = a(x - h)^2 + k</code> by completing the square. Use algebra tiles or a diagram to support your solution.</p><p><code class='latex inline'>\displaystyle y = x^2 + 8x -7 </code></p>
<p>Determine the maximum or minimum value of each relation by completing the square.</p><p><code class='latex inline'>y=-12x^2+96x+6</code></p>
<p>Complete the square to express each relation in vertex form. Then graph the relation.</p><p><code class='latex inline'>y=-x^2+6x-1</code></p>
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p><code class='latex inline'>y=4x^2+16x+36</code></p>
<p>Complete the square to determine the vertex of <code class='latex inline'>y=x^2+bx+c</code>.</p>
<p> Complete the square to express each quadratic relation in the form <code class='latex inline'>y = a(x-h)^2 + k</code>. Then, give the coordinates of the vertex.</p><p><code class='latex inline'>\displaystyle y = x^2 -10x -5 </code></p>
<p>Complete the square to express each relation in vertex form. Then graph the relation.</p><p><code class='latex inline'>y=-0.5x^2-3x+4</code></p>
<p>Write the relation in vertex form by completing the square.</p><p><code class='latex inline'>y=x^2+8x+6</code></p>
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p><code class='latex inline'>y=x^2-8x+4</code></p>
<p> Find the vertex of the following parabolas and state which parabola(with its vertex at the origin) it is congruent to. </p><p><code class='latex inline'>\displaystyle y = -x^2 + 10x + 14 </code></p>
<p> Find the solutions to the following equations(rearrange and factor or complete the square).</p><p><code class='latex inline'>\displaystyle 0 = 4x^2 - 2x + 3 </code></p>
<p>Complete the square to express each relation in vertex form. Then graph the relation.</p><p><code class='latex inline'>y=2x^2+4x-2</code></p>
<p> Find the vertex of the following parabolas and state which parabola(with its vertex at the origin) it is congruent to. </p><p><code class='latex inline'>\displaystyle y = x^2 - 6x + 10 </code></p>
<p>Complete the square to state the coordinates of the vertex of each relation.</p><p><code class='latex inline'>y=2x^2+8x</code></p>
<p>Determine the vertex of the quadratic relation <code class='latex inline'>y=2x^2-4x+5</code> by completing the square.</p>
<p>Express each equation in factored form and vertex form.</p><p><code class='latex inline'>y = 2x^2 -x - 6</code></p>
<p>Determine the maximum or minimum value of each relation by completing the square.</p><p><code class='latex inline'>y=8x^2-96x+15</code></p>
<p>Express each equation in factored form and vertex form.</p><p><code class='latex inline'>y = -2x^2 + 24x - 64</code></p>
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p><code class='latex inline'>y=0.5x^2-4x-8</code></p>
<p>Complete the square to express each relation in vertex form. Then graph the relation.</p><p><code class='latex inline'>y=x^2+10x+20</code></p>
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p><code class='latex inline'>y=2x^2-x+3</code></p>
<p>Determine the maximum or minimum value of each relation by completing the square.</p><p><code class='latex inline'>y=x^2+14x</code></p>
<p> Find the solutions to the following equation.</p><p><code class='latex inline'>\displaystyle 0 = 4x^2 + 12x + 3 </code></p>
<p>Find the location of the vertex.</p><p><code class='latex inline'>\displaystyle y = -5x^2 - 15x - 32 </code></p>
<p>Complete the square to state the coordinates of the vertex of each relation.</p><p><code class='latex inline'>y=-5x^2-20x+6</code></p>
<p>Complete the square to express each relation in vertex form. Then describe the transformations that must be applied to the graph of <code class='latex inline'>y=x^2</code> to graph the relation.</p><p><code class='latex inline'>y=x^2+12x+36</code></p>
<p>How does changing the value of the constant term in the relation <code class='latex inline'>y=2x^2-4x+5</code> affect the coordinates of the vertex?</p>
<p>Express each equation in factored form and vertex form.</p><p><code class='latex inline'>y =2x^2 - 12x</code></p>
<p>Explain how to determine the vertex of <code class='latex inline'>y=x^2-2x-35</code> using three different strategies. Which strategy do you prefer? Explain your choice.</p>
<p>Complete the square to state the coordinates of the vertex of each relation.</p><p><code class='latex inline'>y=4x^2-10x+1</code></p>
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