To factor, the equation must be set equal to...?
ZERO
What is the quadratic formula?
What is the equation to find the axis of symmetry?
x=-b/2a
What is the y-intercept of this equation: y=x2+7x-4
The y-intercept is -4
Solve: (x+4)(x-2)
x=-4,2
Solve x2 + 4x - 21 = 0 using quadratic formula.
x = 3, -7
How many points do you need to create your graph?
minimum 3 points
Name all the ways we have learned to solve quadratic equations
Factoring, graphing, and quadratic formula
Solve this quadratics by factoring.
x2 + 2x - 3 = 0
x2 + 2x - 3 = 0
= (x-1)(x+3) = 0
x = 1, -3
Solve 2x2 +2x - 12 = 0 using the quadratic formula.
x=2, -3
What does it mean if the graph crosses the x-axis twice?
It means there are 2 solutions.
To solve a quadratic equation it must be in what form
standard form, ax2+2bx+c=0
Solve this quadratic equation by factoring.
X2 + 16 = 10x
x2 - 10x + 16 =0
(x-2)(x-8)
x = 2, 8
Solve x2 -x - 72 = 0 by using quadratic formula.
x=9, -8
What is the vertex of y=x2+4x-1
(-2,-5)
What is the shape of the graph of a quadratic?
Parabola
Solve this quadratis equation by factoring.
x^2+7x+15=5
(x+2)(x+5)=0
x= -2, -5
Solve 2x2-6x+4=0
x=2,1
Solve for the vertex, y-intercept, and the reflection of the y-intercept: y=x2-2x+4
vertex: (1,3)
y-intercept: (0,4)
reflection of y-intercept: (2,4)
Which of the three methods learned today is better to solve y=2x2+5x+3
Quadratic fomrula