Question

Which function is equivalent to y=x2-10x+9?

A: Y=(x+5)^2+16
B: Y=(x-5)^2-16
C: Y=(x-5)^2+16
D: Y=(x+5)^2-16

Answer 1

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

Answer 2

B

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