Question

What is the yintercept of the graph of the equation y = 2(4*)?

O A. (0,4)
B. (0,6)
C. (0,2)
D. (0,8)

Answer 1

`\boxed {\boxed {\sf C. \ (0,2)}}`

Explanation:

The y-intercept of a graph occurs when the function cross the y or vertical axis. This is also where x is equal to 0.

Therefore, we can substitute 0 in for x and solve for y.

`y= 2(4^x)`

`y= 2(4^0)`

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent. Any number raised to the power of 0 is equal to 1.

`y= 2(1)`

Multiply.

`y=2`

The y-intercept is 2. So, when x=0, y=2.

Coordinate points are written as (x, y). The y-intercept is (0,2).