Question

Help please (mhanifa)

answer the following questions.

1. The amount you spend at the fair can be represented by the function: y=2x+10
Which statement describes what's happening correctly?
a. For each additional game played, the cost increases by $10.
b. For each additional game played, the cost increases by $2.
c. For each additional game played, the cost increases by $8.
d. For each additional game played, the cost increases by $12.

2. What will the function f(x)=x^2 look like translated 3 units right and 8 units down?

Answer 1

1.

This should have a context but based on the answer options we can say that option B is the correct one.

In the function y = 2x + 10

• 2 is the coefficient which makes change as x changes and
• 10 is the constant which is same for any value of x.

2.

Translation left-right is displayed as:

• g(x) = f(x + a) or g(x) = f(x - a) where positive a shows translation left.

Translation up-down is displayed as:

• g(x) = f(x) + b or f(x) - b where positive b shows translation up.

If we apply the above to the given function we have:

• g(x) = f(x - 3) - 8

or

• g(x) = (x -3)² - 8