Factor Time
Parent Function Transforms
Polynomials
Quadratics
Grab Bag
100
2x^2-12x+10
2(x-5)(x-1)
100
What transformations were applied to the parent function?
-sqrtx+5
reflected over the x-axis and shifted up 5
100
When simplified, what is the coefficient of the squared term
(x+2)(x^2-3x-5)
-7
100
Find the vertex of:
2(x-1)^2-7
(1,-7)
100
Give a simplified expression for the perimeter of the rectangle:
20x+14
200
5x^2+4x-9
(5x+9)(x-1)
200
What transformations were applied to the parent function?
2sqrt(-x)
vertical stretch by a factor of 2 and reflected over the y-axis
200
Find the degree and leading coefficient of:
10x^2+x^3-7x^5-11
5th degree, LC = -7
200
Simplify
sqrt80
4sqrt5
200
In a 45-45-90 triangle, the hypotenuse is 10. That means both short sides must equal ______?
(exact, non-decimal answer required)
5sqrt2
300
x^4-10x^2+16
(x^2-2)(x^2-8)
300
What transformations were applied to the parent function?
-(x+5)^2-3
shifted left 5, reflected over the x-axis, and shifted down 3
300
What is the degree of:
x^2(x-3)(x+1)^3
6
300
What is the EQUATION of the axis of symmetry of this function?
-5x^2-10x+32
x=-1
300
Factor
49x^2-9y^2
(7x+3y)(7x-3y)
400
27x^3+8
(3x+2)(9x^2-6x+4)
400
Given f(x) = |x|
If g(x)=2|x-3|-1,
write g(x) using function notation.
g(x)=2f(x-3)-1
400
Name the zeroes and explain what the graph does at each one:
(x-3)^2(x+4)(x-1)
3 (bounce), -4 (cross), 1 (cross)
400
What are the x-intercepts of
2x^2+3x-3
x=-3, 1/2
400
How many degrees in each angle?
55^o
500
16x^3-48x^2-9x+27
(4x+3)(4x-3)(x-3)
500
Find the range of g(x), if f(x)=|x|, and g(x)=
-2f(x-3)-5
(-oo,-5]
500
Given that (x+4) is a factor of f(x), find all of the zeroes.
f(x)=x^3+11x^2+20x-32
x = -4, -8, 1
500
Solve
-3x^2-2x-11=-4x^2
x=-1+-2sqrt3
500
Find the measure of the labeled angle, rounded to the nearest whole degree.
23^o