What statement best describes the effect of replacing the function f(x)=2x-2 with the function g(x)=2x+3

You can easily see that

In fact, you have

This kind of transformation, where you add a constant to change

result in a vertical translation, k units up if , k units down if

So, in this case, the graphs of f(x) and g(x) have the same shape, and they are vertically shifted 5 units apart, g(x) is higher and f(x) is lower.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.