<p>Pre-2.2: Introduction to Domain and Range Name______</p><p>Domain:______Interval Notation: ______</p><p>Range:______</p><p>1. 2. 3. </p><p>4. 5. 6. </p><p>7. 8. 9. </p><p>1Copyright © Big Ideas Learning, LLC Algebra 2 All rights reserved. Student Journal Graphing Quadratics Identify the translations, the vertex, and then graph. 1. 2. </p><p>3. Graph: horizontal stretch by a factor of and a translation 2 units up, followed by a reflection in the x-axis.</p><p>Put into Standard form by expanding: 4. 5. </p><p>2 Algebra 2 Copyright © Big Ideas Learning, LLC Student Journal All rights reserved. Name______Date______In your own words, write the meaning of each vocabulary term. axis of symmetry</p><p> standard form</p><p> minimum value</p><p> maximum value</p><p> intercept form</p><p>Core Concepts: Properties of the graph of </p><p> The parabola opens up when and open down when  The graph is narrower than the graph of and wider when  The axis of symmetry is and the vertex is  The y-intercept is c. So, the point is on the parabola.</p><p>Ex) Find the vertex, the axis of symmetry, and the y-intercept. </p><p>Ex) Find the vertex, the axis of symmetry, and the y-intercept. </p><p>3Copyright © Big Ideas Learning, LLC Algebra 2 All rights reserved. Student Journal Minimum and Maximum Values For the quadratic function the y-coordinate of the vertex is the minimum value of the function when and the maximum value when </p><p> Minimum value:  Domain: All real numbers  Range:  Decreasing to the left of :  Decreasing on the interval:  Increasing to the right of </p><p> Increasing on the interval: </p><p>Notes:</p><p>Ex) Graph quadratic from standard form and fill in chart. </p><p>4 Algebra 2 Copyright © Big Ideas Learning, LLC Student Journal All rights reserved. Properties of the graph of  Because p and q are the x-intercepts of the graph of the function.  The axis of symmetry is halfway between So, the axis of symmetry is  The parabola opens up when and opens down when </p><p>EX) Graph quadratic from intercept form and fill in chart. </p><p>Extra Practice In Exercises 1–3, graph the function. Label the vertex and axis of symmetry. Find the minimum or maximum value of the function. Describe the domain and range of the function, and where the function is increasing and decreasing. 5Copyright © Big Ideas Learning, LLC Algebra 2 All rights reserved. Student Journal 1. 2.</p><p>3.</p><p>In Exercises 4 and 5, graph the function. Label the x-intercept(s), vertex, and axis of symmetry. 4. 5.</p><p>6. A softball player hits a ball whose path is modeled by where x is the distance from home plate (in feet) and y is the height of the ball above the ground (in feet). What is the highest point this ball will reach? If the ball was hit to center </p><p>6 Algebra 2 Copyright © Big Ideas Learning, LLC Student Journal All rights reserved. field which has an 8 foot fence located 410 feet from home plate, was this hit a home run? Explain.</p><p>7Copyright © Big Ideas Learning, LLC Algebra 2 All rights reserved. Student Journal</p>