Quadratic Equations
What is the vertex of the function y = - (x+2)2 -12
(-2, -12)
What is the y-intercept of the function y = 3x2 +12x -6
-6
Factor the expression by GCF
4a3 -12a2
4a2 (a - 3)
Simplify
(x2 ) (x3 )
x5
What is the name of the quadratic graph?
Parabola
Does the parabola
y = 2(x-3)(x+5) open wider or narrower?
narrower
What is the a-value of the function
y=4x2 + 3x - 1
4
Factor by the difference of two perfect squares.
x2 - 100
(x-10) (x+10)
Simplify
2a(a3 + 5a)
2a4 + 10a2
If f(x) = 3x-12, what is f(5)?
f(5) = 3
What are the roots of the function y = (x-6)(x+2)
6 and -2
Does the parabola open up or down?
y= -x2 +5x - 6
down
Factor the trinomial.
x2 - 11x +30
(x-5)(x-6)
Simplify.
(2a-1)(a+5)
2a2 + 9a -5
What is the slope of the line
2y = 3x - 12
3/2
Does the parabola y = -1/2(x-5)2 + 6 have it's vertex as a maximum or minimum?
maximum
What are the x-intercepts as coordinates?
y = 3(x+2)(x-7)
(-2,0) and (7,0)
Factor COMPLETELY.
x3 - 36x
x (x-6)(x+6)
3(x-3)(x+3)
3x2 -27
Two consecutive integers are such that their sum is triple the smallest decreased by 5. Find the two integers algebraically
6 and 7
What is the axis of symmetry of the function
y = (x-5)2 - 9?
x = 5
What is the axis of symmetry of the equation
y = (x-2)(x-4)
x = 3
Factor completely.
-2x2 + 10x + 100
-2(x-10)(x+5)
Simplify the expression.
5a(a2 + 9a) - 2(a2+4a)
5a3 + 43a2 - 8a
The width of a rectangle is four less than the length. If the area is 32 inches squared, algebraically find the width and length.
4 inches and 8 inches.