This is what we know:4x^2 + 12x + c = (2x + k)^2
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4x^2 + 12x + c = 4x^2 + 2kx + 2kx + k^2
c=9
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Answer:
The value of k is -7
Step-by-step explanation:
We are given the graph of f(x) and g(x). If g(x)=f(x)+k
If we shift f(x) k unit vertical get g(x).
If k>0 then shift up
If k<0 then shift down.
f(x) and g(x) are both parabola curve.
First we find the vertex of f(x) and g(x)
Vertex of f(x) = (3,1)
Vertex of g(x) = (3,-6)
We can see change in y co-ordinate only.
f(x) shift 7 unit down to get g(x)
g(x)=f(x)-7
Therefore, The value of k is -7
Answer: B. −9
Step-by-step explanation: -7--(-2)
−7+−2
−9
To solve this, you want to isolate h. Start by subtracting 9 from both sides: 16 = -3.2h. Divide by -3.2: h = -5
The two numbers are 21 and -4 because 21×(-4)=(-84). And when you add 21+(-4) you get 17.