First, find a common denominator (the bottom number) Then add the tops as usual. Four and five have a common denominator of 20 so: 8/20+5/20=13/20
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a. Answer: m = 2
<u>Step-by-step explanation:</u>
f(x) = x² - 4x + 1
f(m) = m² - 4m + 1 = -3
m² - 4m + 4 = 0
(m - 2)(m - 2) = 0
m = 2
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b. Answer: k = 2 and k = 5
<u>Step-by-step explanation:</u>
f(x) = x² - 7x + 14
f(k) = k² - 7k + 14 = 4
k² - 7k + 10 = 0
(k - 2)(k - 5) = 0
k = 2 k = 5
Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as

Substituting in the coordinates of the vertex,

So, the equation is 
On expanding, we get 