25 0 obj <> endobj endstream endobj 162 0 obj <>/Metadata 20 0 R/PageLayout/OneColumn/Pages 159 0 R/StructTreeRoot 37 0 R/Type/Catalog>> endobj 163 0 obj <>/ExtGState<>/Font<>/XObject<>>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 164 0 obj <>stream The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function. In a given function, the values of \$x\$ at which \$y=0\$, also called roots.

The graph of a quadratic function is a parabola.

A parabola can have no x-intercepts, one x-intercept, or two x-intercepts. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. In graphs of quadratic functions, the sign on the coefficient \$a\$ affects whether the graph opens up or down. Axis of Symmetry is the vertical line that passes through the vertex and divides the parabola into two mirror images. %%EOF h޴V[o�0�+���|�s�*\$ZJ�4:԰u�!�F

5) y = x2 − 2x − 3 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 6) y = −x2 − 6x − 10 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 Identify the … ��6�"\؂UcGؑ����ڐ�` Name_____ Parabola Review ( 9.1) For each parabola, label all parts on the curve. A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.

x-intercepts are the x-values where the parabola intersects the x-axis.

The sign on the coefficient \$a\$ determines the direction of the parabola.Â.

One important feature of the parabola is that it has an extreme point, called the vertex. Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane. Parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point and from a fixed straight line. A Graphical Interpretation of Quadratic Solutions. h�bbd``b`Z\$�� ��H0����1H� �`� ��@� �R+�-H\9���Ȱ�e`\$���x�@� T� %PDF-1.5 %���� 0 %PDF-1.5 %���� hޜU�n�@��}lUѽߤ(�! If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Use this ensemble of printable worksheets to assess student's cognition of Graphing Quadratic Functions.

Parabolas also have an axis of symmetry, which is parallel to the y-axis. Except where noted, content and user contributions on this site are licensed under CC BY-SA 4.0 with attribution required. The axis of symmetry is a vertical line drawn through the vertex. One important feature of the parabola is that it has an extreme point, called the vertex. Fill in each blank using the word bank. 1��� S�� � ^L`

These are the same roots that are observable as the \$x\$-intercepts of the parabola. y-intercept is the y-value where the parabola intersects the y-axis. The solutions to the equation are called the roots of the function. \$�\$����w�l\$H�H(�� 1 !rH�na`bd0 �I#�3|0 [` 5 If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of \$x\$ at which \$y=0\$. Parabola worksheets pdf Parabola worksheets pdf Parabola worksheets pdf DOWNLOAD! Notice that, for parabolas with two \$x\$-intercepts, the vertex always falls between the roots. The x-intercepts are the points at which the parabola crosses the x-axis.

Parabola is the graph of a quadratic function. PDF (269.86 KB) I created this worksheet to teach my students the basic parts of the parabola: vertex, axis of symmetry, and roots/zeroes. 52 0 obj <>stream ��4�̬(1�6�'vWV�4�K.�ɌM�g�A��5p���Q�3R�d�lkʊ}�l�n�2�5���X���X���u�eUm���.

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This webpage comprises a variety of topics like identifying zeros from the graph, writing quadratic function of the parabola, graphing quadratic function by completing the function table, identifying various properties of a parabola, and a plethora of MCQs. There cannot be more than one such point, for the graph of a quadratic function. Also, download the parabola PDF … Due to the fact that parabolas are symmetric, the \$x\$-coordinate of the vertex is exactly in the middle of the \$x\$-coordinates of the two roots. Fill in the Identify the shape of a graphed quadratic equation as a parabola and indicate its parts. Recall that a quadratic function has the form. If there were, the curve would not be a function, as there would be two \$y\$ values for one \$x\$ value, at zero. endstream endobj startxref Circle if it is a max or a min. !E The worksheet has a vocabulary section, a section in which students identify the parts from a graph, and a section in which students identify the parts … Click to learn more about parabola and its concepts. The number of \$x\$-intercepts varies depending upon the location of the graph (see the diagram below). If \$a<0\$, the graph makes a frown (opens down) and if \$a>0\$ then the graph makes a smile (opens up). In either case, the vertex is a turning point on the graph.Â. 191 0 obj <>stream

The y-intercept is the point at which the parabola crosses the y-axis. There may be zero, one, or two \$x\$-intercepts. Vertex of a parabola is the highest or the lowest point on the graph. where \$a\$, \$b\$, and \$c\$ are constants, and \$a\neq 0\$. Properties of Parabolas.Graphing Quadratics Review Worksheet. 9) Vertex: ( , ), Focus: ( , ) 10) Vertex: ( , ), Focus: ( .. 1) y = x2 + 16 x + 64 2) y = 2x2 − 4x − 2 3) y = −x2 + 18 x − 75 4) y = −3x2 + 12 x − 10 Graph each equation.

40 0 obj <>/Filter/FlateDecode/ID[<5AA9E38D8C74B69A2FE79F649D7F707A>]/Index[25 28]/Info 24 0 R/Length 81/Prev 40837/Root 26 0 R/Size 53/Type/XRef/W[1 2 1]>>stream Parabola worksheets pdf Kuta Software - Infinite Algebra 2. 0 heƞ33�c�3PCA�PD-��7io��L�UHV#k��q7����J�2��^7)� ����ʧ��{w�HӬ�Z��зr6�NNp4�џ\$+��U�\\$�E�~'���A�o���8B����x��!4wx�����KuWI��\$ y�S�wz���W�R�p/y���ټBZZ|�j�� ��,���3�/��-^;��!f���'�4{��+��I^�a��F��1�7�. The graph of a quadratic function is a parabola, and its parts provide valuable information about the function. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. Identify the vertex of each. -2- Worksheet by Kuta Software LLC Identify the vertex, focus, axis of symmetry, directrix, direction of opening, min/max value, length of the latus rectum, and the x- and y-intercepts of each. The graph of a quadratic function is a U-shaped curve called a parabola.Â  This shape is shown below.

If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. h�b```f``2f`a`����ǀ |@ �X�p� �����=¯����a�`�`��`��Jup10;�y��lF8/Ӌ�G��-�\Ң��xR������`AZ�����!�� � ]< h�bbd``b`:\$[AD����H�+ 179 0 obj <>/Filter/FlateDecode/ID[<40DD8C537168584A93847F7D73FB3F43>]/Index[161 31]/Info 160 0 R/Length 91/Prev 154072/Root 162 0 R/Size 192/Type/XRef/W[1 2 1]>>stream 7) x x y 8) y x y Use the information provided to write the transformational form equation of each parabola. Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation.

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