Answer:

Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as

where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40



substitute

apply distributive property

see the attached figure to better understand the problem
Answer:
-1/16
-1/4
1
-4
16
Step-by-step explanation:
Put x as -4 and solve.
-4^-2 = 1/-4^2 = -1/16
-4^-1 = 1/-4 = -1/4
-4^0 = 1
-4^1 = -4
-4^2 = 16
1. 1st transformation is translation the parent function
6 units to the right to get the function 
2. 2nd transformation is reflection the function
over the x-axis. This transformation gives you the function 
3. 3rd transformation is vertical stretch of the function
by a factor of 2 to get the function 
Only last two are present in options, then
answer: C and D.
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
Answer: 126
Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses