Answer:
Option A is correct.
The function for the given graph is;

Step-by-step explanation:
An exponential function is in the form of
......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)

or

Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=
Answer: k=9/4
Step-by-step explanation: We can do this by finding a number that adds up to 3 when multiplied by 2. The best way to do this is to use ((b^2)/4) which can usually find you the number for a perfect square based on b, which we have. So, 3^2 / 4 =9/4, meaning k=9/4. We can check:
>x^2 +3x +9/4
> (x+3/2)(x+3/2)
Perfect square.
#1. B
<span>(z * z^2 + z * 2z + z * 4) – (-2 *z^2 – (-2) 2z – (-2) 4)
Z^3 + 2z^2 + 4z – 2z^2 -4z – 8
Z^3 + 2z^2 – 2z^2 + 4z – 4z – 8
Z^3 - 8
</span>
#2 and #3. D
<span>(x + y)(x + 2)
x^2 + 2x + yx + 2y
</span>
#4. D.
<span>(x - 7)(x + 7)(x- 2)
x^2 + 7x – 7x -49
x^2 + x – 49
x^2 -49
(x^2 – 49 ) (x – 2)
x^3 – 2x^2 – 49x + 98
</span>
#5. C
(y - 4) = 0
y = 4
(x + 3)= 0
x = -3
#6. A and B