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

Question

Rufus

Mathematics

7 March, 19:16

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

+5

Answers (2)

Know the Answer?

Matthias Wright · 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

Samantha Jensen · Answer 2

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

Which function is equivalent to y=x2-10x+9?A: Y = (x+5) ^2+16B: Y = (x-5) ^2-16C: Y = (x-5) ^2+16D: Y = (x+5) ^2-16

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