Linear, Exponential, Quadratic Functions
Is this equation linear, exponential, or quadratic:
y = 3(4x)?
Exponential
Simplify: (7k2+9)+(6k2-11)
13k2 - 2
Factor: 45x2y - 18xy3
9xy(5x - 2y2)
Solve: 5x2 - 1 = 19
x = 2 or x = -2
Identify the vertex:
y = -4(x+1)2 + 2
(-1, 2)
What is the graph of a quadratic function?
Simplify: (2x - 3)2
4x2 - 12x + 9
Factor: 16x2 - 1
(4x - 1)(4x + 1)
How many roots does this equation have?
y = 6x2 - 7x + 1
2 solutions
What is the equation for the line of symmetry?
y = 3x2 - 12x + 1
x = 2
If f(x) = 5 + 2x, what is f(0)?
f(0) = 6
Simplify:
(5y2+3y-6)-(2y2-5y+3)
3y2 + 8y - 9
Factor: x2 - 11x + 18
(x - 9)(x - 2)
Solve:
x2 + 8x = 9
x = -9 or x = 1
What is the y-intercept?
y = 3(x-2)2 - 1
(0, 11)
What is the constant ratio if consecutive y-values are:
4, 12, 36, 108
ratio = 3
Simplify: (2x + 7)(x - 5)
2x2 - 3x - 35
Factor: x3 + 2x2 - 8x - 16
(x2 - 8)(x + 2)
What is the Quadratic Formula?
x = -b +/- sqrt (b2-4ac)
-----------------------------
2a
Find the x-intercepts:
y = x2 + 4x - 12
(-6, 0) and (2, 0)
If the population of a town decreases by 7% each year, what is the decay factor?
b = 0.93
Simplify:
(3x - 1)(4x2 + x - 6)
12x3 - x2 - 19x + 6
Factor: 3x2 - 18x - 21
3(x - 7)(x + 1)
Solve: 4x2 = 2x + 3
x = 1 +/- sqrt(13)
___________
4
Find the x-intercepts:
y = -2(x-3)2 + 16
(3+2sqrt2, 0) and (3-2sqrt2, 0)