Question

Hello, can you help me please​

Answer 1

Explanation:

1. C(x) is in vertex form so let write the function out.

`a(x - 1) {}^(2) + b`

B is our maximum value so b=9.

`a(x - 1) { }^(2) + 9`

To find a, we know that when x=5 is a root so plug 5 in for x to find a.

`a(5 - 1) {}^(2) + 9 = 0`

`a(4) {}^(2) + 9 = 0`

`16a = - 9`

`a = - (9)/(16)`

2.. Let convert Chelesa function into. standard form.

`( -9 )/(16) (x - 1) {}^(2) + 9`

`- (9)/(16) (x {}^(2) - 2x + 1) + 9`

`- (9)/(16) {x}^(2) + (9)/(8) x + (135)/(16)`

Let see which value has the higher constant.

135/16 is more than 8 so Chelsea jumper higher.

3. Set Herritea equation equal to zero.

`- (2)/(9) {x }^(2) + 8 = 0`

`- (2)/(9) x {}^(2) = - 8`

Multiply both sides by the reciprocal of negative 2/9.

`{x}^(2) = - 8 * - (9)/(2)`

`{x}^(2) = 36`

`x = 6`

We talking positive distance so the answer is she has moved 6 units horinzontial.

4. The domain of C is all real numbers and the range is All real numbers that are less than or equal to 9.

The domain of H is all real numbers, the range of H is all real numbers that are less than or equal to 8.

5. That means that the y values are equal when x=3.7