Sketching a Quadratic Graph SWBAT will use equation to find the axis of symmetry, the coordinates of points at which the curve intersects the x- axis, and the coordinates of the vertex.

Where does it intersect the x-axis? What is the equation of its axis of symmetry? What are the coordinates of the vertex?

You may wish to draw more graphs of functions of this form.

Sketching Quadratic Graphs  Sketch the graph of a parabola with vertex (1, 2) and range y ≥ 2 Draw and label the axes. Draw a smooth curve through the point (1, 2). Use a vertical line to show the range (y ≥ 2) of the function on the y-axis Plot and label the vertex (1, 2) The curve is symmetrical about the vertical line, that is, x = 1  Is the parabola shown the only one that satisfies the information given? If not how many are there?

Sketching Quadratic Graphs  Sketch the graph of a parabola with x-intercepts at x = -2 and x = 3 and y-intercept at y = -1. Draw and label the axes. Mark the x-intercepts at (-2, 0) and (3, 0). Draw it in (use a dashed line) Mark the y-intercept at (0, -1) Draw a smooth curve through the marked points

Sketching Quadratic Graphs  If you are given the function, use you GDC to draw the graph and then copy the information onto a sketch  If you are not given the function, use the information you are given and what you know about quadratic curves, that is:  They are u-shaped or n-shaped.  They have an axis of symmetry that passes through the vertex.  Homework:  Page 154 – Exercise 4J  Page 159 – Exercise 4N