properties
what is the name of the symmetrical U shaped curve created by a quadratic function
parabola
factor the expression x²-25
Difference of Squares.
recite the quadratic formula used to solve for x
"X equals negative B, plus or minus the square root of B squared minus four A C, all over two A."
in a projectile formula ht, what does h0 represent
initial height.
name the specific point where the porlabra changes from increasing to decreasing?
vertex
find the binomial factors for the quadratic x^2+8x+12
(x + 2)(x + 6)
identify the values of a, b and c for
-2x²+4x -9=0
a = -2 the coefficient of the x^2 term b
= 4
(the coefficient of the x term)c = -9 (the constant term)
a ball is thrown from 6ft height what is the initial height in the equation
6 feet.
what is the equation of the vertical line that passes through the vertex of the parabola?
Axis of Symmetry
solve for x
x^2-5x-14=0
x = -2 and x = 7.
calculate the discriminant for
x²+6x+9=0
The discriminant is 0.
calculate the time to reach max height for
h=-t²+4 when does it hit the ground
t=2
in the standard form y=ax2+bx+c, what does the constant c represent
y-intercept
Use GCF method to solve the equation
3x²+15x=0
x = 0 and x = -5
solve for x using the formula
x²-4x+3=0
x = 3 and x = 1.
calculate the time to reach max height for
h=-t²+4 when does it hit the ground
t=2
The discriminant is a specific part of the quadratic formula that allows you to "scout ahead" and determine the nature of the roots without actually solving the entire equation.
factor the complex trinomial where a>1
2x²+7x+3
(2x + 1)(x + 3)
use the formula to find the irrational roots of
x²+2x-4=0
"X equals negative one plus or minus the square root of five."
profit px= x²+40x what unit count x maximizes profit
x=20