Question

In the previous video, you compared the two functions below.

f(x) = 1.2t      g(x) = 1.2t-5

What did subtracting 5 in the exponent do to the function? Check all that apply.

It shifts the graph of f left 5 units.

It shifts the graph of f right 5 units.

It multiplies all the y-values by 5.

It divides all the y-values by 5.

It multiplies all the y-values by 1.25.

It divides all the y-values by 1.25.

Answer 1

Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units, and it does not affect the y-values of the function.

Step-by-step explanation:

Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units. This is because the exponent determines the horizontal translation of the function. Adding or subtracting a constant value inside the exponent causes the function to shift right or left, respectively.

Furthermore, subtracting 5 in the exponent does not affect the y-values of the function. It only affects the x-values, specifically their positions on the x-axis.

Therefore, the correct statements are:

• It shifts the graph of f right 5 units.
• It does not multiply or divide the y-values by any factor.

Answer 2

• It shifts the graph of f right 5 units.
• It divides all the y-values by 1.25.

Step-by-step explanation: