Question

F(x)=-2^2+16x-13 In vertex form

Answer 1

Answer:

• f(x) = - (x - 8)² + 51

Step-by-step explanation:

Assumed it is:

• f(x) = - x² + 16x - 13

Converting into vertex form:

• f(x) =
• - x² + 16x - 13 =
• - (x² - 16x + 64 - 64) - 13 =
• - (x - 8)² + 64 - 13 =
• - (x - 8)² + 51

Answer 2

Given :-

• x² + 16x -13 [correct]

To Find :-

• To convert it in vertex form .

Answer :-

We have ,

• x² + 16x -13
• x² + 2*8*x -13

Add and subtract 8² .

• x² + 2*8*x + 8² - 8² -13
• ( x² + 2*8*x +8²) -64 -13
• ( x +8)² - 77

Hence the required answer is (x+8)² -77.