∆abc is similar to ∆pqr. corresponds to , and corresponds to . if the length of is 9 units, the length of is 12 units, the length of is 6 units, and the length of is 3 units, then the length of is units and the length of is units. nextreset

QR=4 and RP=2

As ΔABC≈ΔPQR and AB corresponds to PQ and BC corresponds to QR,

AB/PQ=BC/QR=CA/RP

Hence 9/3=12/QR=6/RP

i.e. 9/3=12/QR

or QR=3×12/9=36/9=4

and 9/3=6/RP

or RP=3×6/9=18/9=2

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2