Standard Form
What is quadratic standard form?
ax^2 + bx + c = 0, where a, b, and c are constants.
What is the quadratic formula?
ax2+bx+c
f(x)=-(x+6)^2
(-8,-4) (-7,-1) (-6,0) (-5,-1) (-4,-4)
What is the first step to solving a quadratic problem?
Finding your vertex
"U" Shape
What is the axis of symmetry used for?
To find the y-value in the vertex
What is the definition of factored form?
The form of a number or algebraic expression when it has been broke down into a product of its factors
What is the vertex?
The opposite of h and k as is
What does "a" acts as in the slope in vertex form?
Slope multiplier
What is the correct formula when solving and graphing quadratics?
f(x)=ax2+bx+c
What is the formula for solving standard form Quadratics?
y=ax2+bx+c
How do you plot your "zeros"?
Look for points where the graph intersects the x-axis
An object is launched from a platform.
Its height (in meters), seconds after the launch, is modeled by:h(x)=-5(x-4)^2+180
What is the height of the object at the time of launch?
(2,160) (3,175) (4,180) (5,175) (6,160)
What is the formula for solving vertex Quadratics?
y=a(x-h)2+k
What is the 1-3-5 rule when solving quadratics?
As you move away from the vertex, the graph goes up by 1, then 3, then 5, etc.
What do we do when the y-intercept is off the graphing window?
Use the 1-3-5 method
y=1/8(x-6)(x+2)
(0,3/2) (1,-15/8) (2,-2), (3,-15/8) (4,-3/2)
y=-2(x-1)^2-4
(-1,-12) (0,-6) (1,-4) (2,-6) (3,-12)
Is the vertex the axis of symmetry?
Yes
What shifts a parabola up or down?
If "b" is positive, then the parabola moves upward, and if it is negative, it goes down.
y=-x^2-6x-3
(-5,2) (-4,5) (-3,6) (-2,5) (-1,2)
f(x)=3/8(x -1)(x -9)
(3,-9/2) (4,-45/8) (5,-6) (6,-45/8) (7,-9/2)
y=-1(x-3)^2+4
(1,0) (2,3) (3,4) (4,3) (5,0)
What is the axis of symmetry formula?
x=-b/2a
What does "C" do in a parabola?
Where the graph intersects the y-axis.