Quadratic functions
What is the vertex of the function : The coordinates of the vertex for the quadratic function y = (x - 3)^2 + 5.
(3,5)
The specific name given to a polynomial with exactly three terms, such as x^2 + 5x + 6.
Trinomial
true or false : The ordered pair (2, 3) is a solution to this system of equations: x + y = 5 and 2x - y = 1.
True
In the exponential function y = 5 (2)^x, this number represents the initial value.
5
what is the midpoint formula?
(x1 + x2/2 , y1 + y2/2)
The y-intercept of the parabola defined by the equation y = 2x^2 - 4x - 6.
(0, -6)
The degree of the polynomial : - 5x^2 + 4x^3 + 2x - 1.
3
What is the value of y in this solution set:
x = 4
y = 2x + 3$.
11
the function y = 100(0.85)^x represents this specific type of exponential behavior.
Exponential Decay
What is the Quadratic Formula
-b (plus or minus) Square root of b^2 - 4ac / 2a
What is the AOS ( Axis of symmetry) for the following equation: y = x^2 + 6x + 8.
x = -3
What is the simplifies expression when you add the following : (3x^2 + 4x) + (2x^2 - 7x).
5x^2 - 3x
If a system consisting of two linear equations has no solution, this is the geometric relationship between the two lines when graphed. ( describe the lines)
Parallel Lines
The value of y when x = 3 for the function y = 2(3)^x.
54
What is point slope formula?
y1 = m ( x - x1)
What are the two values of x where the graph of y = x^2 - 9 crosses the x-axis.
x = -3 and x = 3
What is the simplified product of the two binomials
(x + 3)(x - 5)?
x^2 - 2x - 15
what is the solution to the following :
x + y = 10
x - y = 4
(7, 3)
If a population of bacteria doubles every hour starting with 10 bacteria, this is the complete exponential equation used to find the population, y, after x hours.
y = 10 (2)^x
What is the exponential equation?
a(b)^x
Based of the equation y = -3x^2 + 12x - 1 , does the graph have a max or min?
Maximum
The factored form of the expression 6x^3 + 12x^2 after pulling out its greatest common factor.
6x^2(x + 2)
what is the solution to the following :
2x + y = 11
x - y = 1
(4, 3)
While linear functions grow by adding a constant amount each time, exponential functions grow by doing this action repeatedly.
Multiplying
Factored form equation
y= a (x - r1)(x - r2)