Chapter 2 Test Flashcards
(30 cards)
What is standard form?
f(x)= ax^2 + bx + c
If a > 0
the graph opens up
If a
the graph opens down
y intercept of standard function?
(0,C)
x intercept of a standard function?
set f(x)=0 and solve for x or use quadratic formula
axis of symmetry formula?
x= -b/2a
what is the vertex formula?
(-b/2a, f(-b/2a) or axis of symmetry, plug that into the formula.
Minimum occurs when
the graph points upwards
Maximum occurs when
the graph points downwards
Vertex Form formula?
f(x) = a(x-h)^2 + k
Y intercept of vertex form?
(0, f(0)) or let x = 0 and solve for y
axis of symmetry in vertex form
x=h
when giving the axis of symmetry make sure to put
x=
Find the vertex in vertex form?
(h,k)
Formula for intercept form?
f(x)= a(x-p)(x-q)
x intercept in intercept form?
(p,0) (q,0) or set x-p=0 and x-q =0 and solve for x
y intercept of an intercept form function?
set x=0 and solve for y
axis of symmetry in an intercept form function?
x= p+q /2
vertex of intercept form?
(p +q /2, insert that into the x to solve for the y value)
the maximum and minimum is the
y value of the vertex
n=
the highest exponent
multiplicity (k) is
the number of times an expression repeats itself
To find the zeros of a polynomial function, you must
factor out, possibly by grouping
zeros are where
the graph crosses the x axis