graphing quarter 1 Flashcards
intercept
where the function crosses the axis
symmetry
if you fold the item in half you see the same thing on both sides
axis of symmetry
the center line in a quadratic graph
quadratic
a u shaped graph that has a degree of 2
slope
rate of change= change by the same amount to get each next point
parallel
2 linear lines that never cross and have the same slope
to get an x intercept you
make y=0
to get a y intercept you
make x=0
to get x intercepts for quadratics you
factor and then find the solutions
x intercepts are written as
( ,0)
y intercepts are written as
( 0 , )
x intercepts are when the graph
crosses the x axis
y intercepts are when the graph
crosses the y axis
other names for slope
gradient, rate of change
slope formula
(y2-y1)/(x2-x1)
what letter represents slope
m
slope intercept form is
y=mx+b
b in y=mx+b represents the
y intercept
to graph in y=mx+b we start by
graphing the b value on the y axis
slope is graphed by
rise over run
you can recognize parallel lines on a graph because they
will never cross
parallel lines have
the same slope
standard form of a quadratic is
y=ax2+bx+c
a quadratic will look like what when graphed?
U shaped
a linear graph will look like a
straight line
To graph a quadratic first find the
x intercepts
The key points of a quadratic are
y intercept, x intercepts, axis of symmetry, vertex point
to get the axis of symmetry you use the equation
x= -b/2a
to get the vertex point you
plug the axis of symmetry in for x in the equation
points are written (_____, _____)
x,y
in order to see the graph on your calculator you must put the equation into
y= (upper left corner of calculator)
in order to get x intercepts you must do what on y=
y1 is equation y2=0
after you plug in the equations to get the x intercepts you need to
2nd trace intersect move cursor to where the line crosses the x axis enter enter enter
you can only put x into the calculator if you are in what screen?
y=
