Solving Equations
Solve the Equation
X+10=25
X=15
Describe the transformation of the parent function f(x) = x^2
g(x) = (x + 2)2 − 4
Left 2 units down 4 Units
Determine the number of solutions of each system of equations
y = x2 − 5x + 9
y=3
2
Identify the vertex, axis of symmetry, maximum or minimum
g(x) = −(x + 3)2 + 2
vertex (-3,2)
Max: 2
AOS: x=-3
What is the common difference and the next term in the arithmetic sequence?
3, 15, 27, 39,
D=8
47
Solve the Equation
3(2x − 1) = 21
X=4
Describe the transformation of the parent function F(x)=X2
G(X)= X2+5
up 5 units
Solve each system of equations
y = x2 + 2x + 7
y = 7 + x
(-1,6)
(0,7)
Find the vertex and y-intercept of the quadratic function
y = x2 − 6x + 15
y int: (0,15)
vertex: (3,6)
Given the sequence 22, 17, 12, 7, …, write the explicit formula. Then find the 6th term
an = 22 − 5(6 − 1)
-3
Solve the equation
100 = 8(4t − 5)
T=4.375
What transformations of f(x) = x2 are applied to get the function g
g(x) = 3(x + 2)2
Left 2 units
Compression
Solve each system of equations
y = x2 + 4x + 3
y − 2x = 6
(1,8)
(-3,0)
How many real roots does 3x2 − 8x + 1 = 0 have?
2 real roots
What are the recursive and explicit functions for each sequence?
5, 9, 13, 17, 21
R: An =5, if n=1
an-1+4 if n>1
E: An=5+(n-1)4
Solve the Equation
5x − 48 = −3x + 8
X=7
What transformation of X2 results in the function
g(x)=(x-4)2 +5
Right 4 units up 5 units
Use a graph to solve each equation.
−x + 2 = x2
(-2,4)
(1,1)
What is the equation of a parabola with vertex (3, 1) and y-intercept 10?
y = (x − 3)2 + 1
Each year, a volunteer organization expects to add 5 more people for whom the group provides home maintenance services. This year, the organization provides the service for 32 people
How many people would the organization expect to serve during the year, 20 years from now?
127
Solve the Equation
(2/3) (6x − 15) + 5x = 26.
X=4
Given the parent function f(x) = x2, what is the new equation if the function is translated 4 units to the right and 3 units down?
g(x)=(x-4)2-3
Solve each system of equations.
y = 2x + 5
2x + 4y = 10
(-1,3)
The function y = −8x2 + 880x − 5,000 can be used to predict the profits for a company that sells eBook readers for a certain price, x. What is the maximum profit the company can expect to earn?
$19,200
A marching band formation consists of 6 rows. The first row has 9 musicians, the second has 11, the third has 13 and so on. How many musicians are in the last row?
19