hgcmj
22.11.2019 •
Mathematics
Which of the following is the graph of f(x) = x2 − 4x − 5?
a. graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5
b. graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5
c. graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4
d. graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
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Ответ:
The answer is A because completing the square gives a minimum of 2,-9 and factorising gives roots of 5 and -1 :)
Ответ:
Minimum at (2,-9) and intercepts are (-1,5)
Step-by-step explanation:
f(x) =
completing square method adding and subtracting the square of half of coefficient of 4 ,we get
f(x) =
f(x) =
on comparing it with standard vertex form
where k is suppose to be the minimum value
on comparing it we get k = -9
which is minimum value of f(x)
at x =2
and if we find the zeros of
,we get
x(x-5)+1(x-5)
(x+1)(x-5)
on setting it equals zero ,we get
x+1 =0 and x=5
x =-1 and x=5
therefore option A is answer
Minimum at (2,-9) and intercepts are (-1,5)
Ответ:
25.5 -3 so yeh and the horix=zontal is is fine ok