7-3 Graphing quadratic functions

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Presentation transcript:

7-3 Graphing quadratic functions Objective: graphing quadratic functions, and finding the axis of symmetry and vertex. Algebra 1 CP

Find the reflection of each point over the line x = - 2 ( - 1 , 2 ) b) ( - 4 , 5 ) ( - 6 , 1 ) d) ( 2 , - 2 ) e) ( - 1 , 0 ) f) ( 0 , 4 )

Graph of a quadratic function The graph of y = ax2 + bx + c, where a ≠ 0, has the line as its axis of symmetry. The x-coordinate of the vertex is . The y-intercept of the graph is c.

Graph the quadratic function f(x) = 5 – 4x – x2 Graph the quadratic function f(x) = 5 – 4x – x2. Step 1: Find the y-intercept Step 2: Find the equation of the axis of symmetry and the coordinates of the vertex. Step 3: Make a table of values and graph the function.

Try with a partner Graph the quadratic function f(x) = 3x2 – 9x + 5. Step 1: Find the y-intercept Step 2: Find the equation of the axis of symmetry and the coordinates of the vertex. Step 3: Make a table of values and graph the function.

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