Methods
How many methods are there?
Five
What form can you use to easily find the vertex?
Vertex Form
What is the vertex?
y=(x-6)2 +7
(6,7)
True or False: When a quadratic is graphed, it be on its side.
False
What is Domain?
The domain is all of the values of X in an equation or graph.
Which method could you use to solve any quadratic problem?
Quadratic formula
What form can you use to easily find the Y-Intercept?
Standard Form
What is the Y-Intercept?
y=x2+8x-3
The Y-Intercept is -3
True or False: There is an infinite number of possible equations and solutions.
True
What is Range?
The range is all of the values of Y in an equation or graph
What method would you use to form a visual representation of the problem?
Graphing or Graphing calculator
What form can you use to easily find the X-Intercepts or Roots?
Factored Form
What are the roots?
(x-4)(3x+9)
x=3 or x=4
True or False: The domain for all quadratic equations is (-∞,∞)
True
What is the Range?
x2+7x-2
[-2,∞)
What method would you use to find the roots or solutions?
Quadratic Equation or Factoring
Identify the form:
y=ax2+bx+c
Standard Form
Put this into factored form:
y=x2+8x+16
(x+4)(x+4) OR (x+4)2
What is the Y-Intercept?
2x2+35x-5
5
What is the domain?
3x2-43x+67
(-∞,∞)
What method requires the most amount of work but can find any solution to any quadratic equation, even imaginary?
Quadratic formula
Identify the form:
y=(x-h)2+k
Vertex Form
What are the Roots?
x2+9x-4
(-9.424,0) and (0.424,0)
True or False: The parabola can only open up.
False
What is the domain of all quadratic equations?
(-∞,∞)