The function f(t) = t2 4t − 14 represents a parabola.
1 answer:
Answer:
(vertex form)
Vertex(-2,-18), minimum
axis of symmetry at x= -2
Step-by-step explanation:
f(t) = t^2+ 4t − 14
(a) Apply completing the square method
Take middle term +4, divide it by 2 and then square it
4/2= 2 , (2)^2 = 4
add and subtract 4
f(t) = (t^2+ 4t +4) -4− 14
(vertex form)
(b) Vertex form is y=a(x-h)^2 + k
vertex is (h,k)
when 'a' is positive then vertex is at minimum
when 'a' is negative then vertex is maximum
a=1, h=-2 and k= -18
vertex is (-2,-18) , a= 1 that is positive
so it is a minimum
(c) Axis of symmetry at x=h
so axis of symmetry at x= -2
You might be interested in
Answer:
Code is given below along with explanation and output.
Step-by-step explanation:
we can use the method of list comprehension to achieve the given task.
In a list comprehension, we create a sub-list of elements which satisfy specific conditions. the condition i !=x makes sure that x would be excluded in the modified list.
def remove_all(L, x):
return [i for i in L if i != x]
L = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4 ]
print('Before =',L)
L = remove_all(L, 4)
print('After =',L)
Output:
Before = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4]
After = [1, 2, 3, 5, 6, 3, 2]
As you can see we have successfully removed the multiple occurrence of x=4 while preserving the order of the list.
