e3d97d7a-2134-4466-809e-919fac971c0d.html

<h4>Determining the Vertex From a Graph</h4>
<p>Zaren made a paper football for a game at indoor recess and flicked it in the air from a table. The path of the paper football is shown below and represented by the function \(f(x)=-0 .02(x-h)^2+k\).</p>
<p><img src="https://k12.openstax.org/contents/raise/resources/a2f9c554f9def5179ca5a28b48e8894559746539" width="400"></p>
<p>Find the value of the vertex and its meaning:</p>
<p>The peak of the graph is at \((17,3)\). This means the maximum horizontal distance traveled was 17 inches when the height of the object was 3 inches.</p>
<h4>Try It: Determining the Vertex From a Graph</h4>
<p><img alt="Graph of a function, origin O." src="https://k12.openstax.org/contents/raise/resources/2b5f196f5a9da6bd5d31c7d5616e675f0d17a64d"></p>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <p>The revenue made from a high school play is shown in the graph above. Find the vertex and tell what it means in this situation.</p>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer. Then select the <strong>solution</strong> button to compare your work. </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
  <p><span>Here is how to find the vertex and determine its meaning:</span><br></p>
  <p>The peak of the graph is at \((15, 1100)\). This means that the maximum revenue is $1100 when the ticket price is $15.</p>
</div>