<h3>
Answer: Give the domain and the range of each quadratic function whose graph is described. The vertex is (−1,−2)(−1,−2) and the parabola opens up.</h3>
<h3>Answer:</h3>
option A
f(x) = (x – 1)2 + 3
<h3>Step-by-step explanation:</h3>
Given in the question a function,
f(x) = 4 + x² – 2x
Step 1
f(x) = 4 + x² – 2x
here a = 1
b = -2
c = 4
Step 2
x = -b/2a
h = -(-2)/2(1)
h = 2/2
h = 1
Step 3
Find k
k = 4 + 1² – 2(1)
k = 3
Step 4
To convert a quadratic from y = ax² + bx + c form to vertex form,
y = a(x - h)²+ k
y = 1(x - 1)² + 3
y = (x - 1)² + 3
We are looking for the graph of . which is shown in the attached image.
The domain of the graph is [2≤x≤5] (answer choice B)
Answer:
1) Total votes = 260
2) option (a) CANNOT be used to answer this question
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Step-by-step explanation:
Part (A)
let all the votes = x
Violet received 156 votes which equal to 60% of all the votes
∴ 156 = 60% of x
60% = 60/100 = 0.6
∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes
Part (B) :
options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)
<u>While option (a) CANNOT be used to answer this question.</u>
Check the following
a. 0.6 times 156 = x ⇒ x = 93.6
b. 156 = 0.6x ⇒ x = 260
c. 156/0.6 = x ⇒ x = 260
d. 156/x = 60/100 ⇒ x = 260