Definitions
In a graph, what is an "intercept"?
Where the graph crosses the x- or y-axis
f(x) = x2 g(x) = x-1 g(f(x)) =
x2-1
The absolute value of 6^2 - 12(5)
24
Evaluate when x= (-3.5) and y= 12
2y - 3x
34.5
solve the system 2x+y=6 y-2x=2
(1,4)
What are the roots of a quadratic equation?
The solutions or the x-intercepts or the zeroes
Rewrite the in slope intercept form and find the intercepts. 3x-2y=12
y=3/2(x)-6 xint.=4 yint.=-6
logx8=3 Write in exponential form
x3=8
Simplify 2i / (5-2i)
(10i-4)/29
The three strategies to solving systems of equations
elimination, graphing, substitution
Define axis of symmetry, and state the formula for finding the axis of symmetry in a quadratic function.
Axis of Symmetry: where the graph is cut in half. Creates a mirror image over the axis. x=-b/(2a)
Find the zeros of the function f(x)= x^2+2x-35
x=-7 x=5
What is the effect on the graph of y=(x-2)^2+7 if the -2 is changed to 5
the graph would be translated 7 units left
Factor x^2-36
(x-6)(x+6)
Solve the system: -2x+2y=-6 4x+y=7
(2, -1)
What is the quadratic equation
see teacher
f(x) = 6x2 -3x F(2) =
x=18
(x3+10x2+22x+46)/(x+8)
x2+2x+6 (-2/(x+8))
Factoring of: 2x^2 + 7x - 4 = 0
(2x-1)(x+4)
Solve the system 5x-6y=12 -15x+18y=-24
no solution
Define slope, and give the formula for finding the slope of a line.
slope is a ratio: rise/run it determines the steepness of the graph. m(slope)=(Y2-Y1)/(X2-X1)
Find the minimum or maximum value of f(x)= -x^2-4x+8 and state domain and range
max (-2,12) Domain: all real numbers Range: y <=12
The difference between an expression and an equation
Equations are equal to something
Simplify (18x5y2)/ (12x3y7)
(3x2)/ (2y5)
Graph the solution: y>2x-1 y<-5x+3
see teacher