What is the focus of the parabola? y=14x2−x−1 enter your answer in the boxes.

Focus =

Step-by-step explanation:

The standard form is

,  ....[1]  where the focus is (h, k + p).

Given the equation of parabola:

Using the square completing method.

Divide all the term by 14 on right side we have;

Now, complete the square on the right side.

then;

⇒

⇒

then;

⇒

On comparing with [1] we have;

, and

⇒

⇒Focus =

Therefore, the focus of the parabola is,

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.