The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
1 answer:
Answer:
<em>d = 3</em>
Step-by-step explanation:
Coordinate Plane
The image provided shows the four points given:
A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).
It can be clearly seen the length of CD is just the difference of their x-coordinates:
CD = 7 - 4 = 3
We can also use the formula of the distance.
Given two points C(x,y) and D(w,z), the distance between them is:
d = 3
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The given polynomial is f(x) = x² - 2x - 6
Rewrite the function by completing the square.
f(x) = [x² - 2x] - 6
= [(x-1)² - 1] - 6
= (x-1)² - 7
In vertex form,
f(x) = (x-1)² - 7
The vertex is located at (1, -7).
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Answer: f(x) = (x - 1)² - 7
Rewrite the function by completing the square.
f(x) = [x² - 2x] - 6
= [(x-1)² - 1] - 6
= (x-1)² - 7
In vertex form,
f(x) = (x-1)² - 7
The vertex is located at (1, -7).
Because the leading coefficient is +1, the curve opens upward.
Answer: f(x) = (x - 1)² - 7