Which equation could generate the curve in the graph below?

D: 2x^2 + 8x + 8

Step-by-step explanation:

You can use a graphing calc, a table of values (or called a x-y chart), or algebraically. I will being using algebra to solve this.

If you tried to factor out your answers first, it would be simple to see that B and D would be easiest to choose between because of factoring. Rule out A and C.

If you're a quick factor-er, you can tell that D would be able to factor into y = 2(x+2)^2. This would match the graph as the root(s) for this factored equation would be x=-2, which is the vertex of the graph shown.

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

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.