13. Find the vertex of f(x)=x2 -6x +8 .
1 answer:
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Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
You might be interested in
The direct variation equation relates x and y is y = x
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times another variable
If y varies directly with x, then
- y ∝ x
- y = k x is the equation of variation
- k is the constant of variation
∵ y varies directly with x
∵ y ∝ x
∴ y = k x
∵ y = 10 when x = 3
- Substitute these values in the equation above to find k
∴ 10 = k(3)
∴ 10 = 3 k
- Divide both sides by 3
∴ k =
∴ The equation of variation is y = x
The direct variation equation relates x and y is y = x
Learn more:
You can learn more about variation in brainly.com/question/10708697
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