Write y = 2x2-12x+25 in vertex form, plz show work.
1 answer:
y = 2x² - 12x + 25 in the vertex form is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinate of the vertex point
- a is the coefficient coefficient of x²
- k = y when x = h
∵ y = ax² + bx + c
∵ y = 2x² - 12x + 25
∴ a = 2 , b = -12 , c = 25
∵
∴
∴
∴ h = 3
∵ k = y at x = h
∵ h = 3
∴ k = y at x = 3
∵ y = 2x² - 12x + 25
- Substitute x by 3
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
y = 2x² - 12x + 25 in the vertex form is y = 2(x - 3)² + 7
Learn more:
You can learn more about the quadratic equation in brainly.com/question/1332667
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Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,
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Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,
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