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<h4>Reading Graphs of Quadratics</h4>
<p>An object is thrown upward from a height of 5 feet with a velocity of 60 feet per second. Its height, \(h(t)\), in feet after \(t\) seconds is modeled by the function \(h(t)=5+60t-16t^2\).</p>
<p><img alt="Graph of the quadratic function h(t)=5+60t&minus;16t2  on a coordinate plane, origin  O. Horizontal axis scale 0 to 4 by 1&rsquo;s, labeled &ldquo;time (seconds)&rdquo;. Vertical axis scale 0 to 80 by&nbsp;20&rsquo;s, labeled &ldquo;distance above ground (feet)&rdquo;. Some of the points of this function are (0 comma 5), (1 comma 49), to a maximum near (1 point 9 comma 61 point 2 5) then decreasing through (2 comma 61), (3 comma 41) and (3.8 comma 0)." height="231" src="https://k12.openstax.org/contents/raise/resources/32a38b72c84f4afe7093510818605bcc7a9b6d4f" width="311"></p>
<p><strong>Step 1 </strong> -Identify the starting height.<br>
  5 feet </p>
<p><strong>Step 2 </strong> -Identify the maximum height by looking at the vertex or peak of the parabola.<br>
  approximately 62 feet </p>
<p><strong>Step 3 </strong> -Identify when the object reaches its maximum by matching the maximum with its matching time from the \(x\)-axis.<br>
  approximately 1.75 seconds </p>
<p><strong>Step 4 </strong> -When does the object hit the ground?&nbsp;<br>
  Look at where the object has a height of 0 feet, or the zero of the function. This happens at approximately 3.75 seconds. Notice there would be another zero on the graph of the function to the left of \(x=0\), but that does not make sense in the problem because the object was thrown from 5 feet. </p>
<h4> Try It: Reading Graphs of Quadratics </h4>
<p>A rock is launched into the air, and its height is represented by the graph below.</p>
<p><img height="147" src="https://k12.openstax.org/contents/raise/resources/b461dcedda003c376d9dfa1281928c118887b198" width="295"></p>
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<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>What is the maximum height of the rock?</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>Here is how to find the maximum height:</p>
  <p>Look at the peak, or vertex of the parabola.</p>
  <p>The maximum height is 25 feet after 2 seconds.</p>
</div>