Point P' (1, 5) is the image of P (-3,1) under a translation. Determine the translation. Use non-negative numbers.

The translation vector is (4, 4).

Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:

(1)

Where:

If we know that and , then the translation vector is:

The translation vector is (4, 4).

We kindly invite to check this question on translations: link

T: 4 units right, 4 units up

Step-by-step explanation:

From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.

From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.

T: 4 units right, 4 units up

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

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.