Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?

A. (x + 1.2) 2 = 30.25

B. (x + 2.25) 2 = 30.5

C. (x + 2.5) 2 = 30.75

D. (x + 2.75) 2 = 32.5

Question

Mathematics

Alfonso Barton

24 October, 16:05

Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?

A. (x + 1.2) 2 = 30.25

B. (x + 2.25) 2 = 30.5

C. (x + 2.5) 2 = 30.75

D. (x + 2.75) 2 = 32.5

+5

Answers (1)

Know the Answer?

Charles Hooper · Answer 1

X²+3x-28=0

(x+1.5) ² - 1.5² - 28 = 0

(x+1.5) ² - 25.75 = 0

(x+1.5) ² = 25.75

Note: The answer is not listed on the option given. Maybe worth checking the if the original equation has been copied correctly.

Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?A. (x + 1.2) 2 = 30.25B. (x + 2.25) 2 = 30.5C. (x + 2.5) 2 = 30.75D. (x + 2.75) 2 = 32.5

Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?

A. (x + 1.2) 2 = 30.25

B. (x + 2.25) 2 = 30.5

C. (x + 2.5) 2 = 30.75

D. (x + 2.75) 2 = 32.5