B: Y=(x-5)^2-16
C: Y=(x-5)^2+16
D: Y=(x+5)^2-16
Answer:
B
Step-by-step explanation:
Given
y = x² - 10x + 9
Using the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - 10x
y = x² + 2(- 5)x + (- 5)² - (- 5)² + 9
= (x - 5)² - 25 + 9
= (x - 5)² - 16 → B
Figure out the equation for each of the multiple choice.
Then you will get the answer .
For example:
a. (x+5)(x+5) +16
= x^2 + 5x+5x+25+16
= x^2+10x+41
free points!!!!
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