On this week, we learned new chapter. The new chapter is Analyzing Quadratic Functions. In this chapter, we learned how to draw the graph. The basic equation is y= +q. In this equation, a means slope and if a is positive, it opens up and if it is negative, it opens down. Also when the graph is opens up, it has minimum vertex, and when the graph is opens down, it has maximum vertex. Also if a is 1, it always congruent with y= . The next thing, p means horizontal translation, q means vertical translation. And x means x-intercept, y means y-intercept. And also if  absolute value a is bigger than zero, it is stretch and absolute value a is less than zero, it is compression. If we know these things, we can know how to be transformed at y= .

Ex) The graph of y= is translated as described below. Without graphing, write the equation of the graph in its new position.

a) a translation of 16 units up and 13 units right                                b) a translation of 33 units down and 29 units left.

y= + 16                                                                  y= – 33

Also we have to know about the axis of symmetry. The axis of symmetry is a line through a shape so that each side is a mirror image. When the shape is folded in half along the axis of symmetry, then the two halves match up.

Ex) To find the axis of symmetry

a) y=                   b) y=                   c) y= +9

x=19                                                            x=-7                                                    x=0

EX) To find vertex

a) y= -13                    b) y= +3

(-7,-13)                                                             (26,3)