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Transcript of Quadratics
and Kayla Lucas Quadratics Parts of the
Quadratic EQ Forms of
Quadratic EQ standard form Parts of the Parabola vertex form factored form vertex= (-h,k) Finding Roots Quadratic formula: y=ax^2+bx+c c value changes the y-intercept vertex= the highest or lowest point in the
parabola (also called the max/min point) Completing the square: Factoring: x y -2 -1 0 1 2 7 4 3 4 7 c value is where the line
crosses the y-axis -3 -1 +1 +3 x y -2 -1 0 1 2 7 4 3 4 7 -3 -1 +1 +3 a=2nd difference÷2 3 c value is y-value when x=0 finding the values in a table plug in a & c values to find the value of b a value changes width of
parabola and direction of opening b value changes the position
of the vertex 1st difference 2 2 2 2nd difference finding values on a graph a=1 direction of opening (up) axis of symmetry is a line that divides a graph
into halves that are mirror images of each other vertex (a.k.a. min/max value) subtract c from both sides take half of b and square it, then add
this to both sides of the EQ factor this to a perfect square trinomial, then solve Real World Example now, take the EQ y=x^2+3 The End (: Rufus the Naked Mole Rat throws a baseball. The baseball's path is represented by the equation y=-0.05x^2+5.4x where x=horizontal distance from home plate (in yards) and y=height of the ball. 4=1(1)^2+1b+3 4=1+b+3 4=4+b b=0 x value of vertex=-b/2a
b=-2ax the quadratic formula is a formula that is used when y=0 to find the value of x by plugging in the values of a, b, and c standard form is the most common
form of the quadratic equation vertex form is a form of the quadratic equation where the x
and y values of the vertex are plugged in to find the y value