Standard Form To Vertex
x2 + 4x = 32
(x + 2)2 = 36
Factor our the greatest common factor from 25x2 + 15
5(5x2 + 3)
If (x + y = 8), what is the maximum value of the product xy?
16
The value of the function f(x) = 3 x 2x when x = 4
48
|4x + 6| - 3 = 11
{2,-5}
x2 + 2x = 35
(x + 1)2 = 36
Factor the polynomial: q2 + 12q + 20
(q + 2)(q + 10)
If (y=x2 - 6x + 14) what is the minimum value of y?
5
Ben invested $2,000 into a CD with a 5% annual interest rate. How much money will she have after 15 years?
$1,457.86
|3/4x - 3| = 9
{16,-8}
x2 + 8x + 21 = 6
(x + 4)2 = 1
Factor by grouping: 12bc - 4bd - 15xc + 5xd
(4b - 5x)(3c - d)
If (3x + 7 = 22), what is the value of x?
5
Braiden's new dirt-bike is valued at $15,000. With an annual depreciation rate of 25%, find the value of the dirt-bike after 5 years?
$3,559.57
|2x + 4| = -6
No solution
6x2 - 48 = -12x
(x + 1)2 = 9
Factor the polynomial: x2 + 5x - 14
(x + 7)(x - 2)
A right triangle has legs of length of 6cm and 8cm. What is the length of its hypotenuse?
The constant percentage rate of growth or decay shown by the function y = 250 x 0.88x
12% decay rate
-12%
|x - 5| = 2
{3,7}
3x2 - 6x + 9 = 0
(x - 1)2 = -2
Factor by grouping: 21xy + 15x + 35ry + 25r
(3x + 5r)(7y + 5)
The vertex of the parabola (y = -2x2 + 8x - 3) represents a maximum point located at what specific (x, y) coordinate?
(2,5)
The value of f(-2) for the exponential function f(x) = 8 x 4x
1/2
0.5
f(x) = -2|x - 4| + 7
{4,7}