Quadratics
How many terms does a trinomial have?
3
Describe the translation from the parent function h(x)=2x
g(x)=3(2x-8)
-Vertical stretch of 3
-Shifts 8 units right
Find the inverse of this relation:
{(3,6), (5,7), (1,-5)}
{6,3), (7,5), (-5, 1)}
Determine if this function is linear or nonlinear
y=2x2
Nonlinear
Use elimination to solve the system of equations
a+b=8
-a+b=-2
(5,3)
Factor this equation:
4x2-5x+7
Prime
What is the equation for compound interest?
A=P(1+r/n)nt
Do these equations create perpendicular or parallel lines?
y=-4/3x+1
y=3/4x-2
Perpendicular
If f(x)=2x-1, find f(7)
13
The difference between twice a number and another number is 5. The sum of the two numbers is 19. Find the number.
8 and 11
Factor this equation by grouping:
5n2+43n-18
(n+9)(5n-2)
$623
Use points (2,1190) and (7,1350) to write an equation in slope-intercept form.
y=32x+1126
Find the domain and range for the points below
((-6,4), (5,-1), (0,3), (-2,4)
Domain: {-6, -2, 0, 5}
Range: {-1, 3, 4}
Use elimination to solve this system
7x+5y=-21
-4x+2y=12
(-3,0)
What is the quadratic formula?
x=-b±√b2+4ac/2a
Write an exponential function for a graph that passes through the points (1,1)(3,0.25)
y=2(0.5)x
Write this equation in standard form
2y+3=-1/3(x-2)
x+6y=-7
Given g(x)=5/2x-1, if g(x)=-16
x=-6
Alejandra visited the ocean one weekend and collected shells. She collected a total of 53 shells on Saturday and Sunday. On Saturday, she collected 15 more shells than she did on Sunday. Write a system fo equations to find the number of shells Alejandra collected on Saturday, x, and Sunday, y.
x+y=53 and x-y=15
Solve using the quadratic formula:
3x2+12x=-12
x={-2}
Find the 12th term in this geometric sequence:
4, –20, 100, –500...
195,312,500
Find the inverse of the function f(x)=5/2x+7
f-1(x)=(2x-14)/5
Determine if this function is linear or nonlinear
-2x+(√5x)2+y=10x+3x2
Use substitution to solve this system of equations
4x+8y=16
4-2y=x