Solve -6x+19 = x-2. Check for extraneous solutions.
2 answers:
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Answer:
Vertex (5 ,-9)
Step-by-step explanation:
Given : Function f(x) = (x – 8)(x – 2).
To find : What is the vertex of the quadratic function .
Solution : We have given that f(x) = (x – 8)(x – 2).
On removing parenthesis
f(x) = x²-2x -8x +16.
f(x) = x²-10x +16.
We need to find vertex of this function ,
Vertex: (h, k)
h = -.
Plugging values
h = -.
h = 5 this is the x- coordinate,
Now , we will plug x= 5 in quadratic function .
k = (5)²-10(5)+16.
k = 25-50 + 16
k= -9.
Vertex (5 ,-9)
Therefore, Vertex (5 ,-9).
Any equation in the form
Is a line. So, we only need to sample two points, and then connect them.
If we choose, for example, x=0 and x=3, we have
So, when x=0 then y=0, i.e. the line passes through the origin (0,0).
Similarly, when x=3 then y=2, i.e. the line passes through the point (3,2).
Connect these two points and you have the line.