Quadratic Functions
Apply distributive property
-7(x^2+3)
-7x^2-21
Apply product rule
8^4 x 8^6=8^10
8^10
What is the period of the function
10sin(15t)+6
360/15=24
The period is 24
Factor
y=x^2+7x+12=0
(x+3)(x+4)=0
(6^5)^2
6^10
What is the period of the function
f(x)=cos(3x)
the period is about 2.09
Determine the value of f(4) for the following function F(x)=√x-2
f(4)=√4-2=√2=1.41
Burnhamthorpe has a population of 700 and it goes up by 2% each year. WHat would the population be after 5 years.
P(5)=700(1.10408)=772.856
The population of BCI after 5 years will be 772.856.
The function y=-5sin+1 is a sine transformation, identify the amplitude and vertical shift
Amplitude=5
Vertical shift=1
determine the x-intercepts and vertex of the parabola
f(x)=5x^2+9x-3
Vertex -0.9, -7.05
X^2=-2.0874 X^2=0.2874
If you have an account that you deposit $400, with an interest rate of 3.7% per year, how much will there be in the account after 4 years?
400+59.2=459.2
Therefore there will be $459.2 in the account after 4 years
The function y=5cos(x/3+0.5)-2 is a cosine function transformation. What is the phase shift
Abot 1.57 units to the left
h(t)=-16t^2+48t+5
What is the height of the ball at 2 seconds
h(2)=-16(2)^2+48(2)+5
h(2)=-16(4)+96+5
h(2)=-64+96+5
h(2)=32+5
h(2)=37
Therefore the heught if the ball at 2 seconds was 37 feet
Belle puts $100 into an account every month, the account has a 7%per year interest compounded every month, how much will there be after 2 years?
100[(1+0.005)^24-1]/0.005
100(0.1271)/0.005=2542
There would be $2542 in the account.
Determine the equation
Sinusoidal axis=1 Amplitude=5 period=180
The equation would be Y=5sin(2x)=1