Question

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

Answer 1

Answer:

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

Step-by-step 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).