Remember that the ball is on the ground when h(x)=0 since that is the height. There will be two zeros, one is a negative number so would be before you kicked the ball, the other one will be when the ball comes back down.

4 0

3 years ago

What is the value of h when the function is converted to vertex form?

Dmitrij [34]

Answer: The value of 'h' is 3.

Step-by-step explanation: Given that the vertex form of a function is given by

$g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the value of 'h' when the following function is converted to the vertex form.

$g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (ii), we have

$g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.$

Comparing it with the vertex form (i), we get

$h=3.$

Thus, the value of 'h' is 3.

4 0

3 years ago

What is the sum of the first five terms of the geometric series 2 − 8 + 32 −

MrMuchimi

Answer:

∑ (n = 1 to 5) (2·(-4)^(n - 1))

S5 = 2·((-4)^5 - 1)/((-4) - 1) = 410

5 0

3 years ago