Factoring
Quadratics
Quadratics
Key Features
of Quadratics
of Quadratics
Talk the Talk
Vocabulary
Vocabulary
Forms of
Quadratics
Quadratics
Double Points!!
100
Factoring is the process of changing a STANDARD form quadratic equation into _____________ form.
Factored
100
Identify the VERTEX of the parabola.
(-4,5)
100
The graph of a function that is a parabola.
Quadratic Function
100
This form of a quadratic helps us
easily identify the Y-INTERCEPT.
Standard Form
100
EVALUATE the function for f(-3).
f(x)=x^2-2x+5
f(-3)=20
200
FACTOR the quadratic expression.
Write in FACTORED form.
x2 + 8x + 12
(x + 2)(x + 6)
200
Is this parabola concave up or concave down?
Concave Up
200
Variables used to indicate the vertex when using Vertex Form.
Vertex
(h,k)
200
Write the equation of the parabola in VERTEX form.
y=(x-3)^2-2
200
Describe the transformation of the function
f(x) = 2(x - 4)2 - 13
vertical stretch by factor of 2
moves right 4 units
moves down 13 units
300
FACTOR the quadratic expression.
Write in FACTORED form.
x2 + 14x - 51
(x + 17)(x - 3)
300
Find the Y-INTERCEPT of the quadratic equation.
f(x) = 3x2 + 30x + 45
(0,45)
300
Roots, zeros and solutions are 3 words that mean the same as this term.
x-intercepts
300
This form of a quadratic helps to identify the FACTORS.
Factored Form
300
FIND the VERTEX for a quadratic expression
x2 + 2x - 15
(-1, -16)
400
Find the FACTORS of the quadratic expression
x2 + 29x + 28
(x + 28)(x + 1)
400
In which QUADRANT is the VERTEX of the parabola?
f(x) = -2(x - 5)2 + 8
Quadrant 1
(5,8)
400
Parabolas that open downward. These equations have a negative leading coefficient.
Concave Down
400
Write the equation of the quadratic in STANDARD form. (Hint: distribute)
y=(x-4)(x+7)
y=x^2+3x-28
400
Describe the transformation of the function
f(x) = (1/3)(x+7)2 + 2
Vertical compression by factor of 1/3
moves left 7 units
moves up 2 units
500
Find the FACTORS of the quadratic expression
x2 - 13x - 48
(x - 16)(x + 3)
500
Find the VERTEX of the parabola.
f(x) = x2 + 4x - 21
(-2,-25)
500
Define axis of symmetry
A line that cuts the parabola into two equal pieces
500
What is the modeled equation for a quadratic in STANDARD form.
ax2 + bx + c
500
If the vertex of a parabola is at (-1, -4), what would the axis of symmetry be?
x = -1